PDE

Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs

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Authors: Jean Auriol, Ulf Aarsnes, Philippe Martin, Florent Di Meglio, IEEE trans. Automatic Control, Vol. 63, No. 10, pp. 3551 - 3557, October 2018, DOI: 10.1109/TAC.2018.2798818Abstract, BibTeX...

Backstepping control of a wave PDE with unstable source terms and dynamic boundary

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Authors: C. Roman, D. Bresch-Pietri, E. Cerpa, C. Prieur and O. Sename, IEEE Control Systems Letters, Vol. 2, No. 3, pp. 459 - 464, July 2018, DOI: 10.1109/LCSYS.2018.2841898Abstract, BibTeX...

Delay-robust stabilization of a hyperbolic PDE–ODE system

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Authors: Jean Auriol, Federico Bribiesca Argomedo, David Bou Saba, Michaël Di Loreto, Florent Di Meglio, Automatica, Elsevier, 2018, 95, pp.494 - 502, 2018, DOI: 10.1016/j.automatica.2018.06.033
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Controllability of the 1D Schrödinger equation using flatness

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Authors: Philippe Martin, Lionel Rosier, Pierre Rouchon, Automatica, Vol. 91, pp.208-216, May 2018, DOI: 10.1016/j.automatica.2018.01.005
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Boundary estimation of parameters for linear hyperbolic PDEs

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Authors: M. Bin, F. Di Meglio, IEEE Transactions on Automatic Control, Vol. PP, no 99, pp. 1-1, 21 December 2016, DOI 10.1109/TAC.2016.2643442
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Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs

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Authors: L. Hu, F. Di Meglio, R. Vazquez, M. Krstic, IEEE Transactions on Automatic Control, Vol 61 no 11, pp. 3301 - 3314, november 2016, DOI: 10.1109/TAC.2015.2512847
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Flatness and null controllability of 1-D parabolic equations

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Authors: Philippe Martin , Lionel Rosier , Pierre Rouchon, Proc. Appl. Math. Mech., Vol 16, pp. 47 - 50, 25 October 2016, DOI: 10.1002/pamm.201610013
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On the Benjamin-Bona-Mahony Equation with a Localized Damping

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Author: Lionel Rosier, Journal of Mathematical Study, Vol 49 No 2, pp. 195 - 204, 2016. DOI: 10.4208/jms.v49n2.16.06Abstract, BibTeX...

Control of underwater vehicles in inviscid fluids II. Flows with vorticity

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Authors: R. Lecaros, L. Rosier, ESAIM Control Optim. Calc. Var., Vol 22 No 4, pp. 1325--1352, 2016. DOI: 10.1051/cocv/2016040Abstract, BibTeX...

On the reachable states for the boundary control of the heat equation

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Authors: Ph. Martin, L.Rosier, P. Rouchon, Applied Mathematics Research eXpress, Vol. 2, pp.181-216, 16 September 2016 DOI: 10.1093/amrx/abv013
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A simplified two-phase flow model using a quasi-equilibrium momentum balance

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Authors: U. J. F. Aarsnes, A. Ambrus, F. Di Meglio, A. K. Vajargah, O. M. Aamo, E. van Oort, International Journal of Multiphase Flow, Vol. 83, pp. 77-85, July 2016 DOI: 10.1016/j.ijmultiphaseflow.2016.03.017
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Minimum time control of heterodirectional linear coupled hyperbolic PDEs

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Authors: J. Auriol, F. Di Meglio, Automatica, Vol 71, pp. 300-307, 10 June 2016, DOI: 10.1016/j.automatica.2016.05.030
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Null controllability of one-dimensional parabolic equations by the flatness approach

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Authors: Ph. Martin, L.Rosier, P. Rouchon, SIAM J. Control Optim., Vol 54 no 1, pp. 198–220, 2016, DOI: 10.1137/14099245X
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Finite-time stabilization of a network of strings

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Authors: Fatiha Alabau-Boussouira, Vincent Perrollaz, and Lionel Rosier, Mathematical Control and Related Fields, Vol. 5 No 4, pp. 721-742, December 2015 DOI: 10.3934/mcrf.2015.5.721
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Control and Stabilization of the Benjamin-Ono Equation in L2(T)

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Authors: Camille Laurent, Felipe Linares and Lionel Rosier, Arch. Mech. Anal. , Vol. 218 No 3, pp. 1531-1575, May 20 2015 DOI : 10.1007/s00205-015-0887-5
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Internal controllability of the Korteweg-de Vries equation on a bounded domain

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Authors: R.A. Capistrano-Filho, A.F. Pazoto and Lionel Rosier, ESAIM Control Optim. Calc. Var., Vol. 21 No 4, pp. 1076-1107, 2015 DOI 10.1051/cocv/2014059
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Identifiability and stability of an inverse problem involving a Fredholm equation

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Authors: Carlos Conca, Rodrigo Lecaros , Jaime H. Ortega And Lionel Rosier, Chinese Annals of Mathematics, Series B, Vol. 36 No 5, pp. 737-762, 2015, DOI: 10.1007/s11401-015-0974-9
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Control and stabilization of the Benjamin-Ono equation on a periodic domain

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Authors: Felipe Linares and Lionel Rosier, Trans. Amer. Math. Soc. , Vol. 367 No 7, pp. 4595-4626, 2015
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Control of underwater vehicles in inviscid fluids. I. Irrotational flows

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Authors: R. Lecaros and L. Rosier, ESAIM: Control, Optimisation, and Calculus of Variations, Vol 20, no 3, pp. 662--703, 2014, DOI: 10.1051/cocv/2013079
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Null controllability of the heat equation using flatness

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Authors: P. Martin, L. Rosier and P. Rouchon, Automatica, Vol 50, pp. 3067--3076, 2014
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Null controllability of a system of viscoelasticity with a moving control

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Authors: F. Chaves, L. Rosier and E. Zuazua, Journal de Mathématiques Pures et Appliquées, Vol. 101 No 9, pp. 198--222, 2014
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Finite-time stabilization of 2 x 2 hyperbolic systems on tree-shaped networks

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Authors: V. Perrollaz and L. Rosier, SIAM Journal on Control and Optimization, Vol 51 no 1, pp. 143--163, 21 January 2014 DOI: 10.1137/130910762
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Stabilization of a system of n+1 coupled first-order hyperbolic linear PDEs with a single boundary input

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Authors: F. Di Meglio , R. Vazquez , M. Krstic, IEEE transactions on Automatic Control, Vol 58, no 12, pp. 3097 - 3111, December 2013 DOI: 10.1109/TAC.2013.2274723Abstract, BibTeX...

Null controllability of the structurally damped wave equation with moving point control

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Authors: Philippe Martin, Lionel Rosier, and Pierre Rouchon, SIAM J. Control Optim., Vol 51, no 1, pp. 660–684 DOI: 10.1137/110856150 Download PDFAbstract, BibTeX...

Flatness of heavy chain systems

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NICOLAS PETIT AND PIERRE ROUCHON. SIAM J. of Control and Optimization. Vol 40, No. 2, pp. 475-495. 2001. DOI: 10.1137/S0363012900368636 Download PDFAbstract, BibTeX...