Pierre Rouchon

Professeur. Centre Automatique et Systèmes, Mines Paris, Université PSL, 60 Bd Saint-Michel 75272 Paris cédex 06.
Membre de l'équipe-projet QUANTIC entre Inria, ENS-Paris et Mines-Paris (voir aussi https://quantic.phys.ens.fr/)

  • Ancien élève de l'école polytechnique X80
  • Ingénieur général  des mines
  • Professeur chargé de cours à l'école polytechnique (1993-2005)
  • Thèse en génie des procédés, école des mines de Paris, 1990
  • HDR, université Paris-sud, mathématiques, 2000

Thèmes de recherches (research subjects): modélisation et dynamiques des systèmes EDO et EDP (modeling and dynamical systems ODE and PDE); contrôle non linéaire (nonlinear control); observateurs non linéaires et symétries (nonlinear observers and symmetries); systèmes différentiellement plats (differentially flat systems); contrôle des procédés (process control); systèmes mécaniques (mechanical systems); moteurs électriques (electrical drives); moteurs à combustion interne (internal combustion engines); systèmes quantiques (quantum systems).

  • Dernière modifcation (last change):  Juin 2024 

Enseignement (Teaching)

Lectures and seminars.

  • A Lighthearted Conference on Control Theory, Celebrating Witold Respondek's (Partial) Retirement! June 19-21, 2024, INSA Rouen Normandie: Quantum Gate generation for open quantum systems via a monotonic algorithm with time optimization (slides PDF).
  • 58th Control Engineering Colloquium in Boppard, Germnay, February 22, 2024: A tutorial introduction to quantum feedback (slides PDF).
  • Séminaire de Mathématiques Appliquées, Collège de France, 9 juin 2023: Feedback et correction d'erreurs quantiques (slides PDF).
  • Lake Como School of Advanced Studies September 19-23, 2022: Quantum Stochastic Master Equations (SME) (slides PDF).
  • GRETSI 2022, XXVIIIème Colloque Francophone de Traitement du Signal et des Images. Nancy, 5-9 Septembre 2022: Codes correcteurs quantiques et feedback (slides PDF).
  • 9th International Conference on Systems and Control (ICSC'2021), 24-26 November 2021: Quantum error correction and stabilisation with quantum controllers (slides PDF).
  • IFAC Mechatronics & Nolcos Conference 2019, September 4--6, Vienna, Austria: Feedback Issues Underlying Quantum Error Correction (slides PDF).
  • Colloquium of the Physics Department, ENS-Paris,October 23, 2018. An introduction to quantum cryptography,
    computation and error correction (slides PDF, Matlab script: QNDphoton.m, QNDqubit.m).
  • Mexican Annual Conference on Automatic Control. 10-12 October 2018, San Luis Potosí. Dynamical models and feedback issues for super-conducting quantum circuits (slides PDF, Matlab script: DiffusiveMeasurementQubit.m, ExpoStabilizationQubit.m).
  • 4th Workshop on Quantum Non-Equilibrium Dynamics 24-26 April 2017, University of Nottingham (UK): Adiabatic elimination for bipartite open quantum systems (slides PDF).
  • Workshop on Quantum Control Theory: Mathematical Aspects and Physical Applications, TUM-IAS, Garching, April 3-5, 2017: Quantum tomography based on quantum trajectories. (slides PDF).
  • 55th IEEE Conference on Decision and Control, December 12-14, Las Vegas, 2016: On the first experimental realization of a quantum state feedback (slides PDF).
  • Institut Henri Poincaré, Nonlinear Partial Differential Equations and Applications. 2016, June 20–24 (conference in the honor of Jean-Michel Coron): Lindblad master equation with multi-photon drive and damping. (slides PDF).
  • Institut of Mathematics and its Applications, Quantum and Nano Control, April 11-15, Minneapolis, 2016: Deterministic submanifolds and analytic solution of the stochastic differential equation describing a continuously measured qubit. (slides PDF)
  • PRACQSYS 2015, July 20-25, Sydney: Quantum state tomography including measurement duration, imperfections and decoherence (slides in english PDF).
  • ICM 2014, International Congress of Mathematicians, August 13 - 21, Seoul 2014: Models and feedback stabilization of open quantum systems (slides in english PDF), proceedings paper http://arxiv.org/abs/1407.7810.
  • Isaac Newton Institute, Cambridge, July 2014: Quantum filtering and dynamical parameter estimation. (slides in english PDF)
  • Collège de France, March 14, 2014. Stabilisation par feedback de systèmes quantiques ouverts (Feedback stabilization of open quantum systems) (slides in english PDF).
  • Yale University, Department of Applied Physics, April 26, 2013. Design and Stability of Quantum Filters with Measurement Imperfections: discrete-time and continuous-time cases (slides PDF).
  • Contrôle des EDP, interactions et enjeux applicatifs, CIRM, November 2012. Control of open quantum systems by reservoir engineering (slides PDF).
  • Contrôle des EDP, interactions et enjeux applicatifs, CIRM, November 2012. Motion planing and tracking for differentially flat systems (slides PDF, Matlab animation/simulation: cable.m, fakir.m, heat.m with subroutine heatdrv.m and Qbox.m).
  • PRACQSYS, September 2012, Tokyo. Low rank approximation for the numerical simulation of high dimensional Lindblad equations (slides PDF).
  • Delayed Complex Systems, June 2012. Palma de Majorque. Stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays (slides PDF).
  • CDPS09 (IFAC Workshop Control of Distributed Parameter Systems) July 2009. Intrinsic observers for perfect incompressible fluids and particle imaging velocimetry (slides PDF).
  • Colloquium CESAME-MAPA, UCL, 4 June 2009: Gevrey functions and boundary control of some PDE (slides PDF)
  • 2nd Mediterranean Conference on Intelligent Systems and Automation (CISA'09). March 23-25, 2009 (Zarzis, Tunisia): Symmetry preserving asymptotic observers: theory and examples. (slides (PDF)).
  • IMA Workshop Coherence, Control, and Dissipation (March 2-6, 2009, Minneapolis): Singular perturbations and Lindblad-Kossakowski differential equations. (slides (PDF)).
  • Electrical and Mechatronical Systems Workshop. Bernoulli Center, EPFL, 18-20 February 2009: Euler-Lagrange models with complex currents of three-phase electrical machines and observability issues (slides PDF).
  • QUROPE workshop on Quantum/Classical Control in Quantum Information: Theory and experiments (QCCQI 2008, Otranto Sept. 2008): A real-time synchronization feedback for single-atom frequency standards (slides (PDF)), Matlab simulations (M-FILE)).
  • Université de Limoges (colloquium du Laco) et Université de Sao-Paulo: On the controllability of spin-spring quantum systems. (updated version of the plenary talk given at "Premières Journées Méditerranéennes de Mathématiques Appliquées (JMMA01), 23 mars 2005".Tozeur (Tunisie)). (PDF (English)).
  • Ghent : Invariant estimation and control of a polymerization reactor. Mathematics in Chemical Kinetics and Engineering. Annual Seminar, April 28th, 2004. (PDF)
  • Dresden University : Invariant Observers for Mechanical systems. March 2004. (PDF)
  • Collège de France : Calcul symbolique et génération de trajectoires pour certaines EDP avec contrôle frontière. Séminaire de mathématiques appliquées. 12 décembre 2003. (PDF)

PhD Students:

  • Brieuc Beauseigneur (co-supervision with Philippe Campagne-Ibarcq, ERC Q-feedback, PhD scheduled  2026)
  • Pierre Guilmin (co-supervision with Antoine Tilloy,  Cifre with startup Alice&Bob,  PhD scheduled   2025)
  • Leon Carde (co-supervision with Alexandru Petrescu,  Cifre with startup Alice&Bob,  PhD scheduled 2025)
  • Emilien Marolleau (co-supervision with Philippe Martin, Cifre with Safran-Electronics, PhD scheduled 2025). 
    •    

Former PhD Students:

  • Lev-Arcady Sellem (PhD March 2024 co-supervision with Claude Le Bris. Actual position: postdoc Sherbrooke, Canada)
  • Dilshad Surroop (PhD February 2022, co-supervision with Philippe Martin. Actual position:  ingénieur Schneider Electric )
  • Gerardo Cardona (PhD in October 2019. Actual position: ingénieur brevet chez Bandpay & Greuter)
  • Remi Azouit (PhD in October 2017. Actual position: professeur en Lycée  )
  •  Pierre Six ( Ph: D in 2016. Actual position: ingénieur FieldBox)
  • Noad Hamze el Badaoui (PhD in 2016, actual position: ingénieur Thalès)
  • Pascal Combes (PhD in 2015, actual position: ingénieur Schneider Electric)              
  • Nadège Zarrouati-Vissière (PhD in 2013 , actual position: ingénieur de l'armement DGA)
  • Al Kassem Jebai (PhD in 2013 , actual position: ingénieur Schneider Electric)
  • Stéphane Dudret (PhD in 2013, actual position: Ingénieur Air Liquide)
  • Hadis Amini (PhD in 2012, actual position: chargée de recherches CNRS)
  • Zaki Leghtas (PhD in 2012, actual position: professeur  Mines ParisTech )
  • Philippe Moulin (PhD in 2010, actual position: ingénieur IFP-EN)
  • Grégory Rousseau (PhD in 2008, actual position; ingénieur Valéo)
  • Silvère Bonnabel (PhD in 2007, actual position: professeur Mines ParisTech)
  • Jonathan Chauvin (PhD in 2006, actual position,Chief Operating Officer LIXOFT)
  • Mazyar Mirrahimi (PhD in 2005, actual position: directeur de recherches INRIA)
  • Nasradine Aghannan (PhD in 2003, actual position: ingénieur Thalès)
  • Louiza Achour (PhD in 2001, actual position: ingénieure Total)
  • Nicolas Petit (PhD in 2000 , actual position: professeur Mines-ParisTech)
  • Denis Guillaume (PhD in 1998 , actual position: ingénieur IFP-EN)  

Publications: journals

  • Paulo Sergio Pereira da Silva, Pierre Rouchon: Gate generation for open quantum systems via a monotonic algorithm with time optimization (2024) arXiv preprint  https://arxiv.org/abs/2403.20028
  • Hector Hutin, Antoine Essig, Réouven Assouly, Pierre Rouchon, Audrey Bienfait, Benjamin Huard:  Monitoring the energy of a cavity by observing the emission of a repeatedly excited qubit (2024) arXiv preprint  https://arxiv.org/abs/2402.05046
  • Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem: Convergence of bipartite open quantum systems stabilized by reservoir engineering (2023) arXiv preprint https://arxiv.org/abs/2311.10037
  • Lev-Arcady Sellem, Alain Sarlette, Zaki Leghtas, Mazyar Mirrahimi, Pierre Rouchon, Philippe Campagne-Ibarcq: A GKP qubit protected by dissipation in a high-impedance superconducting circuit driven by a microwave frequency comb(2023) arXiv preprint https://arxiv.org/abs/2304.01425
  • Masaaki Tokieda, Cyril Elouard, Alain Sarlette, Pierre Rouchon: Complete positivity violation of the reduced dynamics in higher-order quantum adiabatic elimination, Physical Review A 109 (6), 062206 (2024). https://arxiv.org/abs/2303.04495
  • Henrik Glavind Clausen , Pierre Rouchon, and Rafal Wisniewski: Online Parameter Estimation for Continuously Monitored Quantum Systems, EEE CONTROL SYSTEMS LETTERS, VOL. 8 (2024) https://arxiv.org/abs/2403.04648
  • Ulysse Réglade, Adrien Bocquet, Ronan Gautier, J Cohen, A Marquet, E Albertinale, N Pankratova, M Hallén, F Rautschke, L-A Sellem, P Rouchon, A Sarlette, M Mirrahimi, P Campagne-Ibarcq, R Lescanne, S Jezouin, Z Leghtas: Quantum control of a cat qubit with bit-flip times exceeding ten seconds, Nature volume 629, pages 778–783 (2024) https://arxiv.org/abs/2307.06617
  • Francois-Marie Le Régent and Pierre Rouchon: Adiabatic elimination for composite open quantum systems: Reduced-model formulation and numerical simulations, Phys. Rev. A 109, 032603 (2024) https://arxiv.org/abs/2303.05089
  • C. Berdou, A. Murani, U. Réglade, W.C. Smith, M. Villiers, J. Palomo, M. Rosticher, A. Denis, P. Morfin, M. Delbecq, T. Kontos, N. Pankratova, F. Rautschke, T. Peronnin, L.-A. Sellem, P. Rouchon, A. Sarlette, M. Mirrahimi, P. Campagne-Ibarcq, S. Jezouin, R. Lescanne, and Z. Leghtas: One Hundred Second Bit-Flip Time in a Two-Photon Dissipative Oscillator, PRX Quantum 4, 020350 (2023) https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.4.020350
  • Pierre Rouchon: A tutorial introduction to quantum stochastic master equations based on the qubit/photon system, Annual Reviews in Control 54, 252-261 (2022). https://arxiv.org/abs/2208.07416
  • Michiel Burgelman, Pierre Rouchon, Alain Sarlette, Mazyar Mirrahimi: Structurally stable subharmonic regime of a driven quantum Josephson circuit, Physical Review Applied 18 (6), 064044 (2022) https://arxiv.org/abs/2206.14631
  • Ulisses Alves Maciel Neto, Paulo Sergio Pereira da Silva, Pierre Rouchon: Motion planing for an ensemble of Bloch equations towards the south pole with smooth bounded control, Automatica 145, 110529 (2022). https://minesparis-psl.hal.science/hal-03325203
  •  P.S. Pereira da Silva, P. Rouchon, H.B. Silveira: A fixed point algorithm for improving fidelity of quantum gates. ESAIM: COCV , Vol. 27 p. S9 (2021). https://www.esaim-cocv.org/articles/cocv/pdf/2021/01/cocv190195.pdf 
  • A.Essig, Q. Ficheux, Th. Peronnin, N. Cottet, R.Lescanne, A. Sarlette, P. Rouchon, Z. Leghtas, B. Huard: Multiplexed photon number measurement. Physical Review X 11 (3), 031045 (2021) (https://arxiv.org/abs/2001.03217).
  • G.Cardona, A. Sarlette, P. Rouchon: Exponential stabilization of quantum systems under continuous non-demolition measurements. Automatica, 112:108719 (2020) (https://arxiv.org/abs/1906.07403).
  • R Dassonneville, R Assouly, T Peronnin, P Rouchon, B Huard: Number-resolved photocounter for propagating microwave mode. Physical Review Applied 14 (4), 044022 (2020) (https://arxiv.org/abs/2004.05114)
  • PS Pereira da Silva, HB Silveira, P Rouchon: Fast and virtually exact quantum gate generation in U(n) via Iterative Lyapunov Methods. International Journal of Control, 1-28, 2019 ( https://doi.org/10.1080/00207179.2019.1626023 ).
  • V. Métillon, S. Gerlich, M. Brune, J. M. Raimond, P. Rouchon, and I. Dotsenko: Benchmarking maximum-likelihood state estimation with an entangled two-cavity state. Phys. Rev. Lett., 123:060404, Aug 2019. (https://arxiv.org/abs/1904.04681).
  • Ph. Martin, I. Rivas, L. Rosier, P. Rouchon: Exact Controllability of a Linear Korteweg-de Vries Equation by the Flatness Approach. SIAM J. Control Optim, 57(4):2467–2486. 2019 (PDF).
  • HB Silveira, PSP da Silva, P Rouchon: Stabilization of photon-number states via single-photon corrections: A convergence analysis under imperfect measurements and feedback delays. European Journal of Control 39:106-117, 2018.
  • Ph. Martin, L.Rosier, P. Rouchon: Controllability of the 1D Schrödinger equation using flatness. Automatica, Vol 91, pp: 208–216, May 2018. (https://arxiv.org/abs/1705.01052)
  • R. Azouit, F. Chittaro, A. Sarlette, P. Rouchon: Towards generic adiabatic elimination for bipartite open quantum systems. Quantum Science and Technology, 2 (2017) 044011. (https://arxiv.org/abs/1704.00785)
  • N. Cottet, S. Jezouin, L. Bretheau, P. Campagne-Ibarcq, Q. Ficheux, J. Anders, A. Auffèves, R. Azouit, P. Rouchon, B. Huard: Observing a quantum Maxwell demon at work. Proceedings of the National Academy of Sciences 114(29):7561-7564, 2017. (https://arxiv.org/abs/1702.05161).
  • A. Sarlette, P. Rouchon: Deterministic submanifolds and analytic solution of the quantum stochastic differential master equation describing a monitored qubit. Journal of Mathematical Physics. 58(6):062106, 2017. (https://arxiv.org/abs/1603.05402]
  • P. Six, P. Rouchon: Asymptotic expansions of Laplace integrals for quantum state tomography. Lecture Notes in Control and Information Sciences no 473, pp 307--327, 2017. (https://arxiv.org/abs/1607.00948)
  • R. Azouit, A. Sarlette, P. Rouchon: Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping. ESAIM: COCV, 2016. (http://dx.doi.org/10.1051/cocv/2016050} (see also http://arxiv.org/abs/1511.03898).
  • K. Juliusson, S. Bernon, X. Zhou, V. Schmitt, H. Le Sueur, P. Bertet, D.Vion, M. Mirrahimi, P. Rouchon, D. Esteve: Manipulating Fock states of a harmonic oscillator while preserving its linearity. Physical Review A, 94(6). 2016. (https://arxiv.org/abs/1607.05204)
  • P. Campagne-Ibarcq, S. Jezouin, N. Cottet, P. Six, L. Bretheau, F. Mallet, A. Sarlette, P. Rouchon, B. Huard: Using Spontaneous Emission of a Qubit as a Resource for Feedback Control. Phys. Rev. Lett. 117, 060502 – Published 1 August 2016 (http://arxiv.org/abs/1602.05479)
  • H.B. Silveira, P.S.P. da Silva, P. Rouchon, Quantum gate generation for systems with drift in U(n) using Lyapunov-LaSalle techniques International Journal of Control, 87:1-16, 2016. (http://dx.doi.org/10.1080/00207179.2016.1161830)
  • Ph. Martin, L.Rosier, P. Rouchon: : Null controllability of one-dimensional parabolic equations by the flatness approach
    SIAM J. Control Optim., 54(1), 198–220. 2016. (http://arxiv.org/abs/1410.2588).
  • A.N. Jordan, A. Chantasri, P. Rouchon, B. Huard: Anatomy of Fluorescence: Quantum trajectory statistics from continuously measuring spontaneous emission. Quantum Stud.: Math. Found. (2016). doi: 10.1007/s40509-016-0075-9 . (http://arxiv.org/abs/1511.06677)
  • Ph. Martin, L.Rosier, P. Rouchon: On the reachable states for the boundary control of the heat equation. Applied Mathematics Research eXpress 2016; doi: 10.1093/amrx/abv013 (http://arxiv.org/abs/1509.09072)
  • P. Six, Ph. Campagne-Ibarcq, I. Dotsenko, A. Sarlette, B. Huard, P. Rouchon: Quantum state tomography with noninstantaneous measurements, imperfections, and decoherence Phys. Rev. A, American Physical Society, 2016, 93, 012109 (http://arxiv.org/abs/1510.01726)
  • P. Campagne-Ibarcq, P. Six, L. Bretheau, A. Sarlette, M. Mirrahimi, P. Rouchon, B. Huard: Observing quantum state diffusion by heterodyne detection of fluorescence. Phys. Rev. X, American Physical Society, 2016, 6, 011002 (http://arxiv.org/abs/1511.01415)
  • Al Kassem Jebai, F. Malrait, Ph. Martin, P. Rouchon: Sensorless position estimation and control of Permanent-Magnet Synchronous Motors using a saturation model. Int. Journal of Control. 89(3):535--549, 2016.
  • C. Le Bris, P. Rouchon, J. Roussel: Adaptive low-rank approximation and denoised Monte-Carlo approach for
    high-dimensional Lindblad equations. Phys. Rev. A, American Physical Society, 2015, 92, 062126 (http://arxiv.org/abs/1509.07960).
  • P. Rouchon, J. Ralph: Efficient quantum filtering for quantum feedback control. Phys. Rev. A 91, 012118, 2015 (http://arxiv.org/abs/1410.5345)
  • Ph. Martin, L. Rosier, P. Rouchon: Null controllability of the heat equation using flatness. Automatica, Volume 50, Issue 12, December 2014, Pages 3067–3076 (http://arxiv.org/abs/1310.6179)
  • H. Amini, C. Pellegrini, P. Rouchon: Stability of continuous-time quantum filters with measurement imperfections. Russian Journal of Mathematical Physics, Pleiades Publishing, 2014, 21, 297-315- (http://arxiv.org/abs/1312.0418)
  • N. Zarrouati-Vissiere, K. Beauchard, P. Rouchon: Inertial-sensor bias estimation from brightness/depth images and based on SO(3)-invariant integro/partial-differential equations on the unit sphere. Siam J. Control Optim. Vol. 52, No. 6, pp. 3463–3495. 2014 (http://arxiv.org/abs/1309.2193).
  • H.B. Silveira, P.S. Pereira da Silva, P. Rouchon: Quantum Gate Generation by T-Sampling Stabilization. International Journal of Control. Vol. 87, Issue 6, June 2014, pages 1227-1242 (http://arxiv.org/abs/1308.1504).
  • H. Amini, A. Somaraju, I. Dotsenko, C. Sayrin, M. Mirrahimi, P. Rouchon: Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays. Automatica 49(9):2683--2692. 2013. (http://arxiv.org/abs/1201.1387).
  • K. Beauchard, P. S. Pereira da Silva, P. Rouchon: Stabilization of an arbitrary profile for an ensemble of half-spin systems. Automatica 49(7):2133--2137. 2013. (http://arxiv.org/abs/1202.5407).
  • C. Le Bris, P. Rouchon: Low-rank numerical approximations for high-dimensional Lindblad equations Phys. Rev. A, 87, 022125- (2013) (extended preprint version http://arxiv.org/abs/1207.4580 ).
  • Ph. Martin, L. Rosier, P. Rouchon: Null controllability of the structurally damped wave equation with moving point control, Siam J. Control Optim. 51-1 (2013), pp. 660-684. (http://arxiv.org/abs/1111.4655).
  • A. Somaraju, M. Mirrahimi, P. Rouchon: Semi-Global Approximate stabilization of an infinite dimensional quantum stochastic system. Reviews in Mathematical Physics, 25, 1350001 (2013) (http://arxiv.org/abs/1103.1732).
  • H. Amini, M. Mirrahimi, P. Rouchon: Stabilization of a delayed quantum system: the Photon Box case-study. IEEE Trans. on Automatic Control, 57(8):1918-1930, 2012. (http://arxiv.org/abs/1007.3584)
  • Z.Leghtas, G. Turinici, H. Rabitz, P. Rouchon: Hamiltonian identification through enhanced observability utilizing quantum control. IEEE Trans. on Automatic Control, 57:2679--2683, 2012. (http://arxiv.org/abs/1102.2717).
  • A. Sarlette, Z. Leghtas, M. Brune, J.M. Raimond, P. Rouchon: Stabilization of nonclassical states of one and two-mode radiation fields by reservoir engineering. Phys. Rev. A 86, 012114 (2012) (http://arxiv.org/abs/1203.0929)
  • K. Beauchard, P.- S. Pereira da Silva, P. Rouchon: Stabilization for an ensemble of half-spin systems. Automatica 48, pp.68–76, 2012 . (http://arxiv.org/abs/1007.1334)
  • P. Rouchon: Fidelity is a sub-martingale for discrete-time quantum filters. IEEE Trans. on Automatic Control, 56(11), pp.2743 - 2747, 2011 (http://arxiv.org/abs/1005.3119).
  • C. Sayrin, I. Dotsenko, X. Zhou, B. Peaudecerf, Th. Rybarczyk, S. Gleyzes, P. Rouchon, M. Mirrahimi, H. Amini, M. Brune, J.M. Raimond, S. Haroche: Real-time quantum feedback prepares and stabilizes photon number states. Nature, 477(7362), 1 September 2011. (http://arxiv.org/abs/1107.4027);
  • D. Basic, F. Malrait, P. Rouchon: Current Controller for Low Frequency Signal Injection and Rotor Flux Position Tracking at Low Speeds. IEEE Transactions on Industrial Electronics, 58(9) pp.4010-4022, 2011. (preliminary version PDF)
  • Z. Leghtas, A. Sarlette, P. Rouchon: Adiabatic passage and ensemble control of quantum systems.
    Journal of Physics B: Atomic, Molecular & Optical Physics. 44 (2011) 154017. (http://arxiv.org/abs/1012.5429).
  • A. Sarlette, J. M. Raimond, M. Brune, and P. Rouchon; Stabilization of Nonclassical States of the Radiation Field in a Cavity by Reservoir Engineering. Physical Review Letters, Volume 107, Issue 1, 2011. (http://arxiv.org/abs/1011.5057).
  • I Dotsenko1, J Bernu, S Deléglise, C Sayrin, M Brune, J-M Raimond, S Haroche, M Mirrahimi, P Rouchon: The quantum Zeno effect and quantum feedback in cavity QED. Physica Scripta T140 (2010) 014004 (PDF).
  • K. Beauchard, J.-M. Coron, P. Rouchon: Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Commun. Math. Phys., Volume 296, Number 2, June 2010, p.525-557. (http://arxiv.org/abs/0903.2720).
  • D. Basic, F. Malrait, P. Rouchon: Euler-Lagrange models with complex currents of three-phase electrical machines and observability issues. IEEE Transactions on Automatic Control. Vol 55(1) pp:212-217. 2010 (http://arxiv.org/abs/0806.0387).
  • M. Mirrahimi, P. Rouchon: Real-time synchronization feedbacks for single-atom frequency standards. Siam J. Control Optim. Vol. 48, No. 4, pp. 2820–2839, 2009 (http://arxiv.org/abs/0806.1392v1).
  • I. Dotsenko, M. Mirrahimi,M. Brune, S. Haroche, J.-M. Raimond, P. Rouchon: Quantum feedback by discrete quantum non-demolition measurements: towards on-demand generation of photon-number states. Physical Review A, 80: 013805-013813, 2009 (http://arxiv.org/abs/0905.0114).
  • S. Bonnabel, P. Martin, P. Rouchon: Non-linear Symmetry-preserving Observer on Lie Groups. IEEE Trans. Automatic Control. Vol 54 (7) pp:1709 - 1713, 2009 (http://arxiv.org/abs/0707.2286v2).
  • S. Bonnabel, M. Mirrahimi, P. Rouchon: Observer-based Hamiltonian identification for quantum systems. Automatica, 45: 1144-1155, 2009 (PDF).
  • M. Mirrahimi, P. Rouchon: Singular perturbations and Lindblad-Kossakowski differential equations. IEEE Trans. Automatic Control. Vol 54 (6), pp:1325 - 1329, 2009 (http://arxiv.org/abs/0801.1602v1).
  • S. Merlet, J. Le Gou, Q. Bodart, A. Clairon, A. Landragin, F. Pereira Dos Santos, P. Rouchon: Operating an atom interferometer beyond its linear range. Metrologia 46 (2009) 87–94 (PDF)
  • S. Bonnabel, Ph. Martin, P. Rouchon: Symmetry-preserving observers. IEEE Trans. Automatic Control. Vol 53, pp:2514-2526, 2008 (PDF).
  • P. Rouchon: Quantum Systems and Control. Arima. Vol. 9, pp: 325-357, 2008 (PDF).
  • J. Lévine, P. Rouchon. Dossier "systèmes dynamiques et commande" de la rubrique "commande des systèmes asservis", Techniques de l'Ingénieur, 2008. (http://www.techniques-ingenieur.fr/dossier/systemes_dynamiques_et_commande/S7430).
  • J. Shahrouzi, D. Guillaume, P. Rouchon, P. Da Costa: Stochastic Simulation and Single Events Kinetic Modeling: Application to Olefin Oligomerization. Ind. Eng. Chem. Res. 2008, 47, 4308–4316 (PDF).
  • P. S. Pereira da Silva, P. Rouchon: Flatness-based control of a single qubit gate. IEEE Trans Automatic Control, Vol. 53 (3), pp:775-779, 2008. (PDF Matlab or Scilab simulation codes zip file).
  • J. Chauvin, G. Corde, N. Petit and P. Rouchon, "Motion planning for experimental airpath control of a Diesel homogeneous charge-compression ignition engine", in Control Engineering Practice.Vol. 16, Issue 9, pp 1081-1091. 2008 (PDF).
  • P. Rouchon. Flatness and optimal control of oscillators. International Journal of Tomography & Statistics Summer 2007, Vol. 6, No. S07; 8-14 (PDF).
  • K. Beauchard, JM Coron, M Mirrahimi, P. Rouchon. Implicit Lyapunov control of finite dimensional Schrodinger equations. Systems Control Letters 56 (2007) 388 – 395. (PDF)
  • J. Chauvin, G. Corde, N. Petit, P. Rouchon (2007). Periodic input estimation for linear periodic systems : automotive engine applications. Automatica, 43(6) :971-980 (PDF).
    D. Eui Chang, N. Petit, and P. Rouchon: Time-Optimal Control of a Particle in a Dielectrophoretic System. IEEE Trans Automatic Control , 51(7):1100--1114, 2006. (PDF)
  • M. Mirrahimi, P. Rouchon and G. Turinici. Lyapunov control of bilinear Schrödinger equations. Automatica, 41(11):1987--1994 (2005) (PDF)
  • J.Y. Dieulot, N. Petit and P. Rouchon. A Torus model containing a sliding well-mixed zone as a way to represent mixing process at unsteady stirring conditions in agitated vessels, Chem. Eng. Comm. 192:805--826 (2005) (PDF)
  • M. Mirrahimi, G. Turinici and P. Rouchon. Reference trajectory tracking for locally designed coherent quantum controls. J. of Physical Chemistry A, 109:2631-2637 (2005) (PDF)
  • P. Rouchon. Flatness based control of oscillators. ZAMM Z. Angew. Math. Mech. 85, No. 6, 411–421 (2005) (PDF)
  • Ph. Martin, P. Rouchon, and J. Rudolph. Invariant tracking. ESAIM: Control, Optimisation and Calculus of Variations , 10:1--13, 2004. (PDF)
  • M. Mirrahimi and P. Rouchon. Controllability of quantum harmonic oscillators. IEEE Trans Automatic Control , 49(5):745--747, 2004. (PDF)
  • N. Aghannan and P. Rouchon. An intrinsic observer for a class of Lagrangian systems. IEEE Trans Automatic Control, Vol 48, No 6, 936--945, 2003. (PDF)
  • W. Dunbar, N. Petit, P. Rouchon, and Ph. Martin. Motion planning for a non-linear Stefan equation. ESAIM: Control, Optimisation and Calculus of Variations, 9:275--296, 2003. (PDF)
  • N. Petit, P. Rouchon, J.-M. Boueilh, F. Guérin and Ph. Pinvidic. Control of an Industrial Polymerization Reactor Using Flatness. Journal of Process Control. Vol 12, pp 659-665, 2002. (PDF)
  • N. Petit and P. Rouchon. Dynamics and solutions to some control problems for water-tank systems. IEEE Trans Automatic Control, Vol 47, No 4, 594--609, 2002. (PDF)
  • N. Petit and P. Rouchon. Motion planning for heavy chain systems. Siam J. of Control and Optim., Vol 41, No 2, 475--495, 2001. (PDF)
  • P. Rouchon. Motion Planning, equivalence, infinite dimensional systems. Int. J. of Applied Mathematics and Computer Science, Vol 11, No 1, 2001. (PDF)
  • N. Petit, Y. Creff, and P. Rouchon. Minimum time constrained control of acid strength on a sulfuric acid alkylation unit. Chemical Engineering Science, 56(8), 2001. (PDF)
  • B. Laroche, Ph. Martin and P. Rouchon. Motion planing for the heat equation. Int. Journal of Robust and Nonlinear Control, vol 10, 629--643, 2000. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. A Lie- Bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Trans Automatic Control, 44:922--937, 1999. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Nonlinear control and diffieties, with an application to physics. Contemporary Mathematics, 219:81--92, 1998.
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Tracking control of a vibrating string with an interior mass viewed as delay system. ESAIM: COCV (www.eamth.fr/cocv ), 3:315--321, 1998. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, F. Ollivier, and P. Rouchon. A remark on nonlinear accessibility conditions and infinite prolongations. Syst. Control Letters, 31:77--83, 1997.
  • H. Mounier, P. Rouchon, and J. Rudolph. Some examples of linear systems with delays. European Journal of Automation, 31:911--926, 1997.
  • P. Duchêne and P. Rouchon. Kinetic scheme reduction via geometric singular perturbation techniques. Chem. Eng. Science, 51:4661--4672, 1996. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Deux applications de la géométrie locale des diffiétés. Annales de l'Institut Henri Poincaré, Physique Théorique, 66:275--292, 1996.
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Flatness and defect of nonlinear systems: introductory theory and examples. Int. J. Control, 61(6):1327--1361, 1995. (PDF)
  • Ph. Martin and P. Rouchon. Any (controllable) driftless system with 3 inputs and 5 states is flat. Systems Control Letters, 25:167--173, 1995. (PDF)
  • Ph. Martin and P. Rouchon. Feedback linearization and driftless systems. Math. Control Signal Syst., 7:235--254, 1994. (PDF)
  • P. Rouchon. Necessary condition and genericity of dynamic feedback linearization. J. Math. Systems Estim. Control, 5(3):345--358, 1994. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Défaut d'un système non linéaire et commande haute fréquence. C.R. Acad. Sci. Paris, I-316:513--518, 1993.
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Linéarisation par bouclage dynamique et transformations de Lie- Bäcklund. C.R. Acad. Sci. Paris, I-317:981--986, 1993.
  • M. Fliess, J. Lévine, and P. Rouchon. A generalized state variable representation for a simplified crane description. Int. J. Control, 58:277--283, 1993.
  • M. Fliess, J. Lévine, and P. Rouchon. Index of an implicit time-varying differential equation: a noncommutative linear algebraic approach. Linear Algebra and its Applications, 186:59--71, 1993. (PDF)
  • P. Rouchon and Y. Creff. Geometry of the flash dynamics. Chemical Engineering Sciences, 48:3141--3147, 1993. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Sur les systèmes non linéaires différentiellement plats. C.R. Acad. Sci. Paris, I--315:619--624, 1992.
  • P. Rouchon. Jacobi equation, Riemannian curvature and the motion of a perfect incompressible fluid. European Journal of Mechanics /B Fluids, 11:317--336, 1992.(PDF)
    J. Lévine and P. Rouchon. Quality control of binary distillation columns based on nonlinear aggregated models. Automatica, 27:463--480, 1991. (PDF)
  • P. Rouchon. On the Arnol'd stability criterion for steady-state flows of an ideal fluid. European Journal of Mechanics /B Fluids, 10:651--661, 1991.(PDF)
  • P. Rouchon, M. Schoenauer, P. Valentin, C. Vidar-Madjar, and G. Guiochon. Theory of the propagation of finite concentration bands in gas chromatography. a numerical solution of the ideal problem. J. Phys. Chem., 89:2076--2082, 1985.
  • Michiel Burgelman, Pierre Rouchon, Alain Sarlette, Mazyar Mirrahimi: Structurally stable subharmonic regime of a driven quantum Josephson circuit, Physical Review Applied 18 (6), 064044 (2022) https://arxiv.org/abs/2206.14631

Publications: conferences

  • A Riva, A Sarlette, P Rouchon: Explicit formulas for adiabatic elimination with fast unitary dynamics (2024) arXiv preprint https://arxiv.org/abs/2404.01802
  • FM Le Régent, P Rouchon: Heisenberg formulation of adiabatic elimination for open quantum systems with two timescales 62nd IEEE Conference on Decision and Control (CDC), 7208-7213 (2023) https://arxiv.org/abs/2303.17308
  • Lev-Arcady Sellem, Rémi Robin, Philippe Campagne-Ibarcq, Pierre Rouchon: Stability and decoherence rates of a GKP qubit protected by dissipation, IFAC-PapersOnLine 56 (2), 1325-1332 (2023) https://www.sciencedirect.com/science/article/pii/S2405896323021857
  • Pierre Guilmin, Pierre Rouchon, Antoine Tilloy: Correlation functions for realistic continuous quantum measurement, IFAC-PapersOnLine 56 (2), 5164-5170 (2023) https://www.sciencedirect.com/science/article/pii/S2405896323004561
  • Masaaki Tokieda, Cyril Elouard, Alain Sarlette, Pierre Rouchon: Complete positivity violation in higher-order quantum adiabatic elimination, FAC-PapersOnLine 56 (2), 1333-1338 (2023) https://www.sciencedirect.com/science/article/pii/S2405896323021882
  • Lev-Arcady Sellem, Philippe Campagne-Ibarcq, Mazyar Mirrahimi, Alain Sarlette, Pierre Rouchon: Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator, 2022 IEEE 61st Conference on Decision and Control (CDC), 5149-5154 (2022) https://arxiv.org/abs/2203.16836
  • D. Surroop, Ph. Martin, P. Combes, P. Rouchon: Third-Order Virtual Measurements with Signal Injection, IEEE-CDC 2019.
  • U.A. Maciel Neto, P.S. Pereira da Silva, K. Beauchard, P. Rouchon: H1-Control of an Ensemble of Half-Spin Systems Replacing Rabi Pulses by Adiabatic Following. IEEE-CDC 2019.
  • P. Forni, T. Launay, A. Sarlette, P. Rouchon: A Palette of Approaches for Adiabatic Elimination in Bipartite Open Quantum Systems with Hamiltonian Dynamics on Target. IEEE CDC 2019.
  • G Cardona, A Sarlette, P Rouchon: Continuous-time Quantum Error Correction with Noise-assisted Quantum Feedback. NOLCOS 2019. (https://arxiv.org/abs/1902.00115).
  • D. Surroop, P. Combes, P. Martin and P. Rouchon, "A new demodulation procedure for a class of multiplexed signals," IECON 2019 - 45th Annual Conference of the IEEE Industrial Electronics Society, Lisbon, Portugal, 2019, pp. 48-53.
  • G. Cardona, A. Sarlette, P. Rouchon: Exponential stochastic stabilization of a two-level quantum system via strict Lyapunov control. 57th IEEE Conference on Decision and Control, pp:6591-6596, 2018. (https://arxiv.org/abs/1803.07542).
  • P. Forni, A. Sarlette, Th. Capelle, E. Flurin, S. Deleglise, P. Rouchon: Adiabatic elimination for multi-partite open quantum systems with non-trivial zero-order dynamics. 57th IEEE Conference on Decision and Control, pp:6614-6619, 2018. (https://arxiv.org/abs/1803.07810)
  • R. Azouit, F. Chittaro, A. Sarlette, P. Rouchon: Structure-preserving adiabatic elimination for open bipartite quantum systems. IFAC World Congress 2017.
  • R. Azouit, A. Sarlette, P. Rouchon: Adiabatic elimination for open quantum systems with effective Lindblad master equations. IEEE 55th Conference on Decision and Control, CDC 2016, pp: 4559--4565. 2016 (http://arxiv.org/abs/1603.04630)
  • P. Combes, A.K Jebai, F. Malrait, Ph. Martin, P. Rouchon: Adding virtual measurements by signal injection. Proceedings of the American Control Conference. pp: 999--1005, 2016. (http://arxiv.org/abs/1510.00338).
  • P. Combes, F. Malrait, Ph. Martin, P. Rouchon: An analysis of the benefits of signal injection for low-speed sensorless control of induction motors. 2016 International Symposium on Power Electronics, Electrical Drives, Automation and Motion, SPEEDAM 2016, pp: 721--727. 2016. (http://arxiv.org/abs/1511.09349)
  • N. Badaoui, F.Bretenaker, G.Feugnet, P. Martin, B.Morbieu, P. Rouchon, S. Schwartz: An online compensation algorithm for improving the performance of gas Ring Laser Gyroscopes. 2016 IEEE Conference on Control Applications. pp: 736--742, 2016.
  • H. Bessa Silveira, P.S. Pereira da Silva, P. Rouchon: Stabilization of photon-number states via single-photon corrections: a first convergence analysis under an ideal set-up. Proceedings of the IEEE Conference on Decision and Control, pp:7113--7118, 2015. (http://arxiv.org/abs/1503.06933)
  • R. Azouit, A. Sarlette, P. Rouchon: Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator. Proceedings of the IEEE Conference on Decision and Control, pp:6447-6453, 2015. (http://arxiv.org/abs/1503.06324)
  • P. Six, Ph. Campagne-Ibarcq, L. Bretheau, B. Huard, P. Rouchon: Parameter estimation from measurements along quantum trajectories. Proceedings of the IEEE Conference on Decision and Control, pp:7742--7748, 2015 (http://arxiv.org/abs/1503.061 49)
  • P. Martin, L. Rosier, P. Rouchon: Null controllability using flatness: A case study of a 1-D heat equation with discontinuous coefficients. 2015 European Control Conference, pp:55--60, 2015.
  • S. Dudret, F. Ammouri, P. Rouchon: Input/output transfer models of binary distillation columns derived from convection-diffusion partial differential equations. pp: 6136-6142, CDC 2013.
  • P. Rouchon, A. Sarlette: Contraction and stability analysis of steady-states for open quantum systems described by Lindblad differential equations. pp: 6568-6573, CDC 2013. (http://arxiv.org/abs/1302.6899)
  • Ph. Martin, L Rosier, P. Rouchon: Null Controllability of the 2D Heat Equation Using Flatness. pp: 3738-3743, CDC 2013 (http://arxiv.org/abs/1304.5426).
  • Ph. Martin, L Rosier, P. Rouchon: Null Controllability of the 1D Heat Equation Using Flatness. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations. September 25-27, 2013, The Institut Henri Poincaré in Paris, France (http://arxiv.org/abs/1303.2344).
  • H.B. Silveira, P.S.Pereira da Silva, P. Rouchon: A stochastic Lyapunov feedback technique for propagator generation of quantum systems on U(n). Control Conference (ECC), 2013 European. pp: 2712 - 2716, 2013.
  • A.K Jebai, F.Malrait, Ph. Martin, P.Rouchon: Sensorless position estimation of Permanent-Magnet Synchronous Motors using a nonlinear magnetic saturation model. Electrical Machines (ICEM), 2012 XXth International Conference on. pp : 2245 - 2251, 2012.
  • N. Zarrouati, P. Rouchon, K. Beauchard: Rotational and translational bias estimation based on depth and image measurements. pp: 6627 - 6634, CDC 2012.
  • Al K. Jebai, F. Malrait, Ph. Martin, P. Rouchon: Signal injection and averaging for position estimation of permanent-magnet synchronous motors. pp: 7608 - 7613, CDC 2012.
  • H. Bressa Silveira, P.S. Pereira da Silva, P. Rouchon: Explicit control laws for the periodic motion planning of controllable driftless systems on SU(n). pp: 3640 - 3645, CDC 2012.
  • A. Sarlette, P. Rouchon: Robust open-loop stabilization of Fock states by time-varying quantum interactions. Proc. 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, pp. 208-213 (2012) (http://arxiv.org/abs/1210.1021).
  • S. Dudret, K. Beauchard, F. Ammouri, P. Rouchon: Stability and asymptotic observers of binary distillation processes described by nonlinear convection/diffusion models. American Control Conference, pp:3352-3358, 2012 (PDF).
  • N. Zarrouati, E. Aldea, P. Rouchon: SO(3)-invariant asymptotic observers for dense depth field estimation based on visual data and known camera motion. American Control Conference, pp:4116-4123, 2012. (http://arxiv.org/abs/1103.2539).
  • A. Somaraju, I. Dotsenko, C. Sayrin, P. Rouchon: Design and Stability of Discrete-Time Quantum Filters with Measurement Imperfections. American Control Conference, pp:5084-5089, 2012. (http://arxiv.org/abs/1109.5344).
  • H. Amini, M. Mirrahimi, P. Rouchon: On stability of continuous-time quantum-filters. CDC/ECC 2011, pp:6242 - 6247. (http://arxiv.org/abs/1103.2706).
  • H. Amini, M. Mirrahimi, P. Rouchon: Design of Strict Control-Lyapunov Functions for Quantum Systems with QND Measurements. CDC/ECC 2011,pp:8193 - 8198. (http://arxiv.org/abs/1103.1365).
  • R. Somaraju, M. Mirrahimi, P. Rouchon: Approximate stabilization of an infinite dimensional quantum stochastic system. CDC/ECC 2011, pp:6248 - 6253. (http://arxiv.org/abs/1103.1724).
  • S. Bonnabel, Ph. Martin, P. Rouchon, E. Salaun. A Separation Principle on Lie Groups. IFAC world congress 2011. (http://arxiv.org/abs/1010.6007).
  • Z. Leghtas, M. Mirrahimi, P. Rouchon: Observer-based quantum state estimation by continuous weak measurement. American Control Conference 2011, pp:3816 - 3820. (http://arxiv.org/abs/1007.3911).
  • Al K. Jebai, F.Malrait, Ph. Martin, P. Rouchon; Estimation of Saturation of Permanent-Magnet Synchronous Motors Through an Energy-Based Model. International Electric Machines and Drives Conference (IEMDC 2011) 15 –18 May 2011. (http://arxiv.org/abs/1103.2923).
  • D. Basic, Al K. Jebai, F. Malrait, Ph. Martin, P. Rouchon. Using Hamiltonians to Model Saturation in Space Vector Representations of AC Electrical Machines. in "Advances in the Theory of Control, Signals and Systems with Physical Modelling", J. Levine and Ph. Müllhaupt (Eds), Lecture Notes In Control and Information Sciences 407, 2011. (PDF)
  • M. Mirrahimi, A. Sarlette, P. Rouchon: Real-time synchronization feedbacks for single-atom frequency standards: V- and Lambda-structure systems. 49th IEEE Conference on Decision and Control, pp. 5031-5036, 2010. (PDF)
  • R. Sepulchre, A. Sarlette and P. Rouchon: Consensus in non-commutative spaces. 49th IEEE Conference on Decision and Control, pp. 6596-6601, 2010. (PDF)
  • D. Basic, F. Malrait, P. Rouchon: Initial Rotor Position Detection in PMSM based on Low Frequency Harmonic Current Injection. 14th International Power Electronics and Motion Control Conference.T4-1, 2010. (PDF)
  • K. Beauchard, P. S. Pereira da Silva, P. Rouchon: Time-periodic feedback stabilization for an
    ensemble of half-spin systems. NOLCOS, 2010. (PDF)
  • J. Macron, O. Roy, J. Pierquin, P. Rouchon: Purity predictive model-based control of oxygen vacuum swing adsorption process. Control & Automation (MED), 2010 18th Mediterranean Conference on , vol., no., pp.745-749, 23-25 June 2010. (PDF)
  • D. Basic, F. Malrait, P. Rouchon: Modeling magnetic saturation and saliency effects via Euler-Lagrange models with complex currents for three-phase permanent magnet machines. IFAC Workshop on Engine and Powertrain Control, Simulation and Modeling (10.3182/20091130-3-FR-4008.0028), 2009. (PDF)
  • A. Donovan, M. Mirrahimi, P. Rouchon: Back and forth nudging for quantum state reconstruction.
    Communications, Control and Signal Processing (ISCCSP), pp: 1-5, 2010. (PDF)
  • Z. Leghtas, M. Mirrahimi, P. Rouchon: Parameter estimation of a 3-level quantum system with a single population measurement. IEEE Conference on Decision and Control, pp: 3816-3820, 2009. . http://arxiv.org/abs/0903.1011
  • M. Mirrahimi, I. Dotsenko, P. Rouchon: Feedback generation of quantum Fock states by discrete QND measures.IEEE Conference on Decision and Control, pp: 1451-1456, 2009 . http://arxiv.org/abs/0903.0996.
  • H. B. Silveira, P. S. Pereira da Silva, P. Rouchon: A Time-Periodic Lyapunov Approach for Motion Planning of Controllable Driftless Systems on SU(n). IEEE Conference on Decision and Control, pp: 363-368, 2009. http://arxiv.org/abs/0902.4437
  • S. Bonnabel, P. Rouchon: Fusion of inertial and visual : a geometrical observer-based approach. Intelligent Systems and Automation: 2nd Mediterranean Conference on Intelligent Systems and Automation (CISA'09), vol. 1107 (1), pp: 54-58. March 2009 (PDF).
  • S. Bonnabel, G. Dubois, P. Rouchon: A simple feedback-loop for a frequency lock on a narrow atomic transition. Proc. of the 2008 IFAC World Congress (PDF).
  • S. Bonnabel, M. Mirrahimi, P. Rouchon: Qubit Hamiltonian identification: A symmetry-preserving observer-based approach. Proc. of the 2008 IFAC World Congress (PDF)
  • S. Bonnabel, Ph. Martin, P. Rouchon: Non-linear observer on Lie Groups for left-invariant dynamics with right-equivariant output. Proc. of the 2008 IFAC World Congress (PDF)
  • A. Abichou, S. Elasmi, P. Rouchon: Flatness-based pre-compensation of laser diodes. Proc. of the 2008 IFAC World Congress (PDF)
  • M. Mirrahimi and P. Rouchon: Continuous measurement of a statistic quantum ensemble, IEEE Conference on Decision and Control, pp: 2465--2470. Dec 2006. (PDF).
  • L. Rosier and P. Rouchon: On the controllability of a wave equation with structural damping.
    Int. J. Tomogr. Stat. 5 (2007), no. W07, 79--84 (presented at CAO'06, 13th IFAC Workshop on Control Applications of Optimisation. April 2006). (PDF)
  • P. Rouchon: Flatness and optimal control of oscillators. CAO'06. 13th IFAC Workshop on Control Applications of Optimisation. April 2006. (PDF)
  • S. Bonnabel, Ph. Martin and P. Rouchon: A non-linear symmetry-preserving observer for velocity-aided inertial navigation. In American Control Conference (ACC06). pp:2910--2914, June 2006. (PDF)
  • M. Mirrahimi and P. Rouchon: Mesure continue d’un ensemble statistique de systèmes quantiques, CIFA 2006 (Conférence Internationale Francophone d’Automatique), Bordeaux, France. June 2006. (PDF).
  • S. Bonnabel, Ph. Martin and P. Rouchon: Groupe de Lie et observateur non-linéaire. CIFA 2006 (Conférence Internationale Francophone d’Automatique), Bordeaux, France. June 2006. (PDF).
  • P. Rouchon: Sur le contrôle d'un système quantique modèle. CIFA 2006 (Conférence Internationale Francophone d’Automatique), Bordeaux, France. June 2006. (PDF).
  • M. Mirrahimi and P. Rouchon: On the controllability of some quantum electro-dynamical systems, CDC/ECC 2005 (IEEE Conference on Decision and Control/ European Control Conference), Seville, Spain. December 2005 (PDF).
  • S. Bonnabel and P. Rouchon: On Invariant Observers. SYNCOD 2005 - Stuttgart Symposium on Nonlinear Control and Observer Design: From Theory to Applications. September 2005. Also in "Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems." Series: Lecture Notes in Control and Information Sciences, Vol. 322, pp: 53-67, Springer-Verlag, 2005. (PDF)
  • M. Mirrahimi and P. Rouchon. Lyapounov based trajectory generation of Schrödinger equation . NOLCOS 2004. (PDF)
  • P. Rouchon. Flatness based control of quantum systems. NOLCOS 2004. (PDF)
  • J. M. Igreja, J. M. Lemos, P. Rouchon and R. N. Silva. Dynamic motion planning of a distributed collector solar field. NOLCOS 2004. (PDF)
  • M. Mirrahimi and P. Rouchon. Trajectory tracking for quantum systems: a Lyapounov approach. In Proc. of the International Symposium MTNS'2004 , 2004. (PDF)
  • J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon. Real-Time Combustion Torque Estimation on a Diesel Engine Test Bench Using Time-Varying Kalman Filtering. In Proc. of the 43rd IEEE Conf. on Decision and Control 2004. (PDF)
  • J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon. Real-Time Combustion Torque Estimation on a Diesel Engine Test Bench Using an adaptive Fourier Basis Decomposition. In Proc. of the 43rd IEEE Conf. on Decision and Control 2004. (PDF)
  • J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon. Observer Design for Torque Balancing on a DI Engine. In Proc. of Society Automotive Engine World Congress 2004. (PDF)
  • J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon. Time-varying Linear Observer for Torque Balancing on a DI Engine. In Proc. of the 1st IFAC Symp. on Advances in Automotive Control 2004. (PDF)
  • P. Rouchon. Control of a quantum particle in a moving potential well. In IFAC 2nd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2003. (PDF)
  • P. Rouchon and H. Sira-Ramirez. Control of the walking toy: A flatness approach. In American Control Conference, 2003.
  • N. Aghannan, N. and P. Rouchon. On invariant asymptotic observers. In Proc. of Control and Decision Conference, Las Vegas, 2002. (PDF)
  • N. Petit and P. Rouchon. Flatness of Heavy Chain Systems. In Proc. of the 41st IEEE Conf. on Decision and Control. 2002. (PDF)
  • N. Belouardi and P. Rouchon. Inverse scattering and optic fiber design. In PICOF'02, Carthage , April 2002. (PDF)
  • N. Petit and P. Rouchon. Motion planning for heavy chain systems, volume 259 of Lecture Notes in Control and Information Sciences, pages 229--236. Springer, 2001.
  • N. Petit, P. Rouchon, J.M. Boueihl, F. Guérin, and Ph. Pinvidic. Control of industrial polymerization reactor using flatness, volume 259 of Lecture Notes in Control and Information Sciences, pages 237--244. Springer, 2001.
  • S. Sekhavat, P. Rouchon, and J. Hermosillo. Computing the flat outputs of engel differential systems the case study of the bi-steerable car. In The American Control Conference, pages 3576--3581, 2001. (PDF)
  • F. Dubois, N. Petit, and P. Rouchon. Motion planing and nonlinear simulations for a tank containing a fluid. In European Control Conference, Karlsruhe, 1999.(PDF)
  • M. Fliess, Ph. Martin, N. Petit, and P. Rouchon. Active signal restoration for the telegraph equation. In Proc. of Control and Decision Conference, Phenix, 1999. (PDF)
  • P. Rouchon and J. Rudolph. Invariant tracking and stabilization: problem formulation and examples, pages 261--273. Lecture Notes in Control and Information Sciences 246. Springer, 1999.
  • D. Guillaume and P. Rouchon. Mise sous forme affine implicite d'une classe de bioréacteurs. In AGIS'98, Angers, 1998. (PDF)
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Controlling the transient of a chemical reactor: a distributed parameter approach. In CESA 98, 1998.
  • D. Guillaume and P. Rouchon. Observation and control of a simplified car. In proceedings IFAC Motion Control, Grenoble, 1998. (PDF)
  • D. Guillaume and P. Rouchon. Systems in implicit affine forms. In Proc. NOLCOS, 1998. (PDF)
  • P. Bendotti, L. Praly, P. Rouchon, and C.M. Falinower. Constrained control for a pressurized water reactor. In Proc. of Control and Decision Conference, Tampa, pages 4708-- 4713, 1998.
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. A distributed parameter approach to the control of a tubular reactor: A multi- variable case. In Control and Decision Conference, Tampa, pages 439-- 442, 1998.
  • B. Laroche, Ph. Martin, and P. Rouchon. Motion planning for a class of partial differential equations with boundary control. In Proc. of Control and Decision Conference, Tampa, pages 3494-- 3497, 1998. (PDF)
  • Y. Lenoir,, Ph. Martin, and P. Rouchon. 2k-pi, the juggling robot. In Proc. of Control and Decision Conference, Tampa, pages 1995--2000, 1998. (PDF)
  • N. Petit, Y. Creff, and P. Rouchon. Motion planning for two classes of nonlinear systems with delays depending on the control. In Proc. of Control and Decision Conference, Tampa, pages 1007-- 1011, 1998. (PDF)
  • Y. Aoustin, M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Theory and practice in the motion planning and control of a flexible robot arm using Mikusinski operators. In Proc. of the Fifth IFAC Symposium on Robot Control, pages 287--293, Nantes, France, 1997. (PDF)
  • M. Fliess, J. levine, P. Martin, F. Ollivier, and P. Rouchon. Controlling nonlinear systems by flatness. In C.I. Byrnes, B.N. Datta, D.S. Gilliam, and C.F. Martin, editors, Systems and control in the Twenty-First Century, Progress in Systems and Control Theory. Birkhauser, 1997.
  • D. Guillaume, P. Rouchon, and J. Rudolph. Two simple observers for a class of polymerization reactors. In Proc. of the 4-th European Control Conf., Brussels, 1997.
  • L. Karsenti and P. Rouchon. A tracking controller-observer scheme for DC-to-DC converters. In Proc. of the 4-th European Control Conf., Brussels, 1997.
  • J. Lévine, P. Rouchon, G. Yuan, C. Grebogi, B.R. Hunt, E. Kostelich, E. Ott, and J.A. Yorke. On the control of US N avy cranes. In Proc. of the 4-th European Control Conf., Brussels, 1997.
  • Ph Martin, R. Murray, and P. Rouchon. Flat systems. In Proc. of the 4-th European Control Conf., pages 211--264, Brussels, 1997. (PDF)
  • N. Petit, Y. Creff, and P. Rouchon. delta-freeness of a class of linear delayed systems.In Proc. of the 4-th European Control Conf., Brussels, 1997. (PDF)
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Systèmes linéaires sur les opérateurs de M ikusinski et commande d'une poutre flexible. In ESAIM Proc. Elasticité, viscolélasticité et contrôle optimal, 8ème entretiens du centre Jacques Cartier, Lyon, pages 157--168, 1996.
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Some example of linear systems with delays. In Analyse et commande des systèmes à retards, GdR Automatique, CNRS, Ecole des Mines de Nantes, mars 1996.
  • Ph. Martin and P. Rouchon. Flatness and sampling control of induction motors. In Proc. IFAC World Congress, pages 389--394, San Francisco, 1996.
  • Ph. Martin and P. Rouchon. Two remarks on induction motors. In CESA'96 IMACS Multiconference, pages 76--79, Lille, 1996. (PDF)
  • H. Mounier, P. Rouchon and J. Rudolph. pi-freeness of a long electric line. In Proc. CESA '96 IMACS Multiconference, pages 28--29, Lille, 1996.
  • P. Rouchon. Vibrational control and flatness of chemical reactors. In CESA'96 IMACS Multiconference, pages 211--212, Lille, 1996. (PDF)
  • M.K. Bennani and P. Rouchon. Robust stabilization of flat and chained systems. In Proc. of the $3$rd European Control Conf., pages 1781--1786, Rome, 1995. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Design of trajectory stabilizing feedback for driftless flat systems. In Proc. of the 3-rd European Control Conf., pages 1882--1887, Rome, 1995. (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, F. Ollivier, and P. Rouchon. Flatness and dynamic feedback linearizability: two approaches. In Proc. of the 3-rd European Control Conf., pages 726--732, Rome,1995.
  • M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph. Controllability and motion planning for linear delay systems with an application to a flexible rod. In Proc. of the 34-th IEEE Conf. on Decision and Control, pages 2046--2051, New Orleans, 1995.
  • Ph. Martin and P. Rouchon. Any (controllable) driftless system with m inputs and m+2 states is flat. In Proc. of the 34-th IEEE Conf. on Decision and Control, pages 2886--2891, New Orleans, 1995.
  • Ph. Martin and P. Rouchon. Systems without drift and flatness. In Systems and Networks: Marthematical Theory and Applications, pages 347--348. Akademie Verlag, Berlin, 1994.
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Nonlinear control and Lie- Bäcklund transformations: towards a new differential geometric standpoint. In Proc. 33th IEEE Control Decision Conf., Lake Buena Vista, Florida, pages 981--986, 1994.
  • J. Lévine and P. Rouchon. An invariant manifold approach for robust control design and applications. In Proc. MTNS'93, Regensburg, Germany, August 1993 (PDF)
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Differential flatness and defect: an overview. In Workshop on Geometry in Nonlinear Control, Banach Center Publications, Warsaw, 1993.
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Towards a new differential geometric setting in nonlinear control. In Proc. Internat. Geometric. Coll., Moscow, May 1993.
  • P. Rouchon, M. Fliess, J. Lévine, and Ph. Martin. Flatness and motion planning: the car with n-trailers. In Proc. ECC'93, Groningen, pages 1518--1522, 1993.(PDF)
  • P. Rouchon, M. Fliess, J. Lévine, and Ph. Martin. Flatness, motion planning and trailer systems. In Proc. of the 32-nd IEEE Conf. on Decision and Control, pages 2700--2705, San Antonio, 1993. (PDF)
  • M. Fliess, J. Lévine, and P. Rouchon. Index of a general differential-algebraic implicit system. In S. Kimura and S. Kodama, editors, Recent Advances in Mathematical Theory of Systems, Control, Network and Signal Processing II (MTNS-91), pages 289--294, Kobe, Japan, 1992.
  • M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. On differentially flat nonlinear systems. In Proc. IFAC-Symposium NOLCOS'92, Bordeaux, pages 408--412, 1992.
  • P. Rouchon. Remarks on some applications of nonlinear control techniques to chemical processes. In Proc. IFAC-Symposium NOLCOS'92, Bordeaux, pages 569--575, 1992.
  • P. Rouchon, M. Fliess, and J. Lévine. Kronecker's canonical forms for nonlinear differential implicit systems. In Proc. IFAC Workshop on Linear Systems, Prague, september, 1992. (PDF)
  • Y. Creff, J. Lévine, and P. Rouchon. Qualitative behavior of distillation columns and their control. In Proc. of the first European Control Conference, pages 1069--1075. Hermès, Paris, july 1991.
  • M. Fliess, J. Lévine, and P. Rouchon. Index of a general linear time-varying implicit system. In Proc. of the first European Control Conference, pages 768--772. Hermès, Paris, 1991.
  • M. Fliess, J. Lévine, and P. Rouchon. A simplified approach of crane control via a generalized state-space model. In Proc. 30th IEEE Control Decision Conf., Brighton, pages 736--741, 1991.
  • P. Rouchon, Y. Creff, F. Djenab, J. Lévine, and H. Renon. Nonlinear quality control of pseudo-binary distillation columns. In ADCHEM'91, K. Najim and J.P. Babary, editors, IFAC Inter. Symposium, 1991
  • J. Lévine and P. Rouchon. Disturbances rejection and integral control of aggregated nonlinear distillation models. In Proc. of the 7th Conf. on Analysis and Optimisation of Systems . Springer, Lecture Notes in Control and Information Sciences, June 1986.

Publications: patents.

  • F. Ammouri, S. Dudret, P. Rouchon: Procédé et dispositif de détection d'un risque de dysfonctionnement dans une unité de séparation des composants chimiques d'un produit, notamment de l'air. (Air Liquide) FR2993363 A1, 2014-01-17.
  • F. Ammouri, S. Dudret, P. Rouchon: Détermination des concentrations de composants chimiques dans une colonne de distillation. (Air Liquide) FR2991054 A1, 2013-11-29.
  • Al Kassem Jebai, F. Malrait, Ph. Martin, P. Rouchon: Procédé de commande mis en oeuvre dans un convertisseur de puissance pour identifier des paramètres liés à la saturation magnétique d'un moteur électrique (Schneider Toshiba Inverter) WO2012123255 A2, 2012-09-20.
  • S. Capitaneanu, F. Malrait, P. Rouchon: Procédé de commande d'un onduleur de type NPC (Schneider Toshiba Inverter) EP2375556 A1, 2011-10-12.
  • D. Basic, F. Malrait, P. Rouchon: Procédé de détermination de la position du vecteur de flux d'un moteur (Schneider Toshiba Inverter) EP2246973 A2, 2010-11-03.
  • N. Petit, P. Rouchon, J. Chauvin, G. Cordes: Méthode d'estimation du régime instantané produit par chacun des cylindres d'un moteur à combustion interne (Institut Français du Pétrole) WO2007034057 A1, 2007-03-29.
  • J. Chauvin, Ph. Moulin, G. Cordes, P. Nicolas, P. Rouchon: Méthode d'estimation par un filtre de Kalman étendu de la richesse dans un cylindre d'un moteur à combustion (Institut Français du Pétrole) EP1729000 A1, 2006-12-06.
  • J. Chauvin, Ph. Moulin, G. Cordes, P. Nicolas, P. Rouchon: Méthode d'estimation par un filtre non-linéaire adaptatif de la richesse dans un cylindre d'un moteur à combustion (Institut Français du Pétrole) EP1729001 A1, 2006-12-06.
  • F. Jadot, F. Malrait, P. Rouchon, R. Sepulchre: Procédé et système pour la commande d'un moteur électrique en cas de défluxage (Schneider Toshiba Inverter) EP1703628 A1, 2006-09-20.

Publications: miscellaneous.

  • P. Rouchon. Estimation des vitesses à partir de la mesure des déplacements pour une équation des ondes. Technical Report, Mines-ParisTech, Centre Automatique et Systèmes, April 2010 (http://hal-ensmp.archives-ouvertes.fr/hal-00473034/fr/).
  • F. Lamnabhi-Lagarrigue and P. Rouchon. Commande non linéaire. Hermès, Paris, 2003.
  • N. Petit and P. Rouchon. Théorie du contrôle non linéaire. Science et Info Prépas Hors-Série 4, Tangente Sup Sciences POLE, pp. 60-67, 2002.
  • P. Rouchon. On the control of quantum oscillators. Technical Report A/320, Ecole des Mines de Paris, Centre Automatique et Systèmes, June 2002. (PDF)
  • P. Rouchon. Control of a quantum particle in a moving box. Technical Report A/325, Ecole des Mines de Paris, Centre Automatique et Systèmes, October 2002. (PDF)
  • P. Rouchon and J. Rudolph. Réacteurs chimiques différentiellement plats: planification et suivi de trajectoires . Traité IC2, Hermès, Paris. Chapitre du livre Commande de procédés chimiques: réacteurs et colonnes de distillation, coordonnateur J.P. Corriou, 2001.
  • Y. Creff and P. Rouchon. Colonnes à distiller. Traité IC2, Hermès, Paris. Chapitre du livre Commande de procédés chimiques: réacteurs et colonnes de distillation, coordonnateur J.P. Corriou, 2001.
  • Ph. Martin, R. Murray, and P. Rouchon. Flat Systems, Equivalence and Feedback, volume 264 of Lecture Notes in Control and Information Sciences, chapter 1, pages 5--32. Springer, 2001.
  • Ph. Martin, R. Murray, and P. Rouchon. Flat Systems: open problems, infinite dimensional extension, symmetries and catalog, volume 264 of Lecture Notes in Control and Information Sciences, chapter 2, pages 33--60. Springer, 2001.
  • Ph. Martin and P. Rouchon. Optimisation, discrétisation et observateur: commande des moteurs asynchrones 2, Observateur de flux par changement de temps, pages 191--196. Traité IC2. C.Canudas de Wit, Paris, Hermès, 2000.
  • Ph. Martin and P. Rouchon. Systèmes plats, planification et suivi de trajectoires, http://math.polytechnique.fr/xups/vol99.html, Notes, Journées X-UPS,1999.
  • Ph. Martin and P. Rouchon. Symmetry and field-oriented control of induction motors. Technical Report 493, Ecole des Mines de Paris, Centre Automatique et Systèmes, September 1998. (PDF)
  • P. Rouchon. Flatness and stick-slip stabilization. Technical Report 492, Ecole des Mines de Paris, Centre Automatique et Systèmes, September 1998. (PDF)
  • P. Rouchon. Slow/fast kinetic scheme with slow diffusion. Technical Report A195, École des Mines de Paris, Centre Automatique et Systèmes, March 1997.(PDF)
  • P. Rouchon. Flatness and robust control of pendulum mechanical systems.Technical Report 469, École des Mines de Paris, Centre Automatique et Systèmes, june 1994.
  • P. Rouchon. A characterization of analytic ruled surfaces. Technical Report 431, Ecole des Mines de Paris, Centre Automatique et Systèmes, March 1993. (PDF)
  • P. Rouchon. Flatness and oscillatory control: some theoretical results and case-studies. Technical Report PR412, École des Mines de Paris, Centre Automatique et Systèmes, september 1992. (PDF)
  • P. Rouchon. Dynamique des fluides parfaits, principe de moindre action, stabilité lagrangienne. Technical Report 13/3446 EN, ONERA, septembre 1991.(PDF)
  • P. Rouchon. Simulation dynamique et commande non linéaire de colonnes à distiller . Thèse, École des Mines de Paris, mars 1990. (PDF)
  • P. Rouchon, M. Schoenauer, P. Valentin, and G. Guiochon. Numerical Simulation of Band Propagation in Nonlinear Chromatography, volume 46 of Chromatographic Science Series . Eli Grushka, Marcel Dekker Inc., New York, 1988.

Old historical papers

  • G. Monge. Supplément où l'on fait voir que les équations aux différences ordinaires pour lesquelles les conditions d'intégrabilité ne sont pas satisfaites sont succeptibles d'une véritable intégration... Mémoire de l'Académie Royale des Sciences. Paris. pp: 502-576. 1784. (PDF)