Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
ESAIM: COCV, 8 (2002) 513-554
Published online: 2002-08-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
On the relation between approaches for boundary feedback control of hyperbolic systems
Michael Herty and Ferdinand TheinEuropean Journal of Control 82 101182 (2025)
https://doi.org/10.1016/j.ejcon.2025.101182
Stabilization in finite time of a class of evolution equations under multiplicative or additive controls
Younes Amaliki and Mohamed OuzahraJournal of Control and Decision 1 (2025)
https://doi.org/10.1080/23307706.2025.2499527
Boundary feedback control for hyperbolic systems
Michael Herty and Ferdinand TheinESAIM: Control, Optimisation and Calculus of Variations 30 71 (2024)
https://doi.org/10.1051/cocv/2024062
Control of a Linearized Viscous Liquid–Tank System with Surface Tension
Iasson Karafyllis and Miroslav KrsticSIAM Journal on Control and Optimization 62 (2) 1034 (2024)
https://doi.org/10.1137/23M158749X
Output finite-time stabilisation of a class of linear and bilinear control systems
Hanan Najib and Mohamed OuzahraInternational Journal of Control 97 (4) 690 (2024)
https://doi.org/10.1080/00207179.2023.2166874
Stabilization of a multi-dimensional system of hyperbolic balance laws
Michael Herty and Ferdinand TheinMathematical Control and Related Fields (2023)
https://doi.org/10.3934/mcrf.2023033
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Jean-Michel Coron, Shengquan Xiang and Ping ZhangJournal of Differential Equations 345 1 (2023)
https://doi.org/10.1016/j.jde.2022.11.021
Stabilization of a Multi‐Dimensional System of Hyperbolic Balance Laws – A Case Study
Ferdinand TheinPAMM 22 (1) (2023)
https://doi.org/10.1002/pamm.202200056
Stabilization of the Linearized Water Tank System
Jean-Michel Coron, Amaury Hayat, Shengquan Xiang and Christophe ZhangArchive for Rational Mechanics and Analysis 244 (3) 1019 (2022)
https://doi.org/10.1007/s00205-022-01778-0
Spill-Free Transfer and Stabilization of Viscous Liquid
Iasson Karafyllis and Miroslav KrsticIEEE Transactions on Automatic Control 67 (9) 4585 (2022)
https://doi.org/10.1109/TAC.2022.3162551
Funnel control for a moving water tank
Thomas Berger, Marc Puche and Felix L. SchwenningerAutomatica 135 109999 (2022)
https://doi.org/10.1016/j.automatica.2021.109999
Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity
Qiongyuan Li and Peipei ShangEuropean Journal of Control 67 100716 (2022)
https://doi.org/10.1016/j.ejcon.2022.100716
2385 (2022)
https://doi.org/10.23919/ACC53348.2022.9867470
Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model
Alexandre Bayen, Jean-Michel Coron, Nicola De Nitti, Alexander Keimer and Lukas PflugVietnam Journal of Mathematics 49 (3) 957 (2021)
https://doi.org/10.1007/s10013-021-00506-7
Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations
Karine Beauchard and Frédéric MarbachJournal de Mathématiques Pures et Appliquées 136 22 (2020)
https://doi.org/10.1016/j.matpur.2020.02.001
Finite-time internal stabilization of a linear 1-D transport equation
Christophe ZhangSystems & Control Letters 133 104529 (2019)
https://doi.org/10.1016/j.sysconle.2019.104529
Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system
Jixun Chu, Peipei Shang and Zhiqiang WangNonlinear Analysis 189 111577 (2019)
https://doi.org/10.1016/j.na.2019.111577
An Improvement of Port-Hamiltonian Model of Fluid Sloshing Coupled by Structure Motion
Mohammad Yaghoub Abdollahzadeh JamalabadiWater 10 (12) 1721 (2018)
https://doi.org/10.3390/w10121721
Control of Three Heat Equations Coupled with Two Cubic Nonlinearities
Jean-Michel Coron and Jean-Philippe GuilleronSIAM Journal on Control and Optimization 55 (2) 989 (2017)
https://doi.org/10.1137/15M1041201
Numerical Feedback Stabilization with Applications to Networks
Simone Göttlich and Peter SchillenDiscrete Dynamics in Nature and Society 2017 1 (2017)
https://doi.org/10.1155/2017/6896153
Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
Miguel Andres Caicedo, Roberto Capistrano Filho and Bing-Yu ZhangSIAM Journal on Control and Optimization 55 (6) 3503 (2017)
https://doi.org/10.1137/15M103755X
PREFACE
Karine Beauchard and Emmanuel TrélatESAIM: Control, Optimisation and Calculus of Variations 22 (4) 913 (2016)
https://doi.org/10.1051/cocv/2016057
Evolutionary Equations with Applications in Natural Sciences
Mapundi Kondwani BandaLecture Notes in Mathematics, Evolutionary Equations with Applications in Natural Sciences 2126 439 (2015)
https://doi.org/10.1007/978-3-319-11322-7_9
Simultaneous local exact controllability of 1D bilinear Schrödinger equations
Morgan MoranceyAnnales de l'Institut Henri Poincaré C, Analyse non linéaire 31 (3) 501 (2014)
https://doi.org/10.1016/j.anihpc.2013.05.001
Control of a Korteweg-de Vries equation: A tutorial
Eduardo CerpaMathematical Control & Related Fields 4 (1) 45 (2014)
https://doi.org/10.3934/mcrf.2014.4.45
Phantom tracking method, homogeneity and rapid stabilization
Jean-Michel CoronMathematical Control & Related Fields 3 (3) 303 (2013)
https://doi.org/10.3934/mcrf.2013.3.303
Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system
Dugan Nina, Ademir Fernando Pazoto and Lionel RosierEvolution Equations & Control Theory 2 (2) 379 (2013)
https://doi.org/10.3934/eect.2013.2.379
Output Feedback Stabilization for a Scalar Conservation Law with a Nonlocal Velocity
Jean-Michel Coron and Zhiqiang WangSIAM Journal on Mathematical Analysis 45 (5) 2646 (2013)
https://doi.org/10.1137/120902203
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws
Mapundi K. Banda and Michael HertyMathematical Control & Related Fields 3 (2) 121 (2013)
https://doi.org/10.3934/mcrf.2013.3.121
699 (2013)
https://doi.org/10.1002/9780470612217.ch39
Optimal Control of Cell Mass and Maturity in a Model of Follicular Ovulation
Frédérique Clément, Jean-Michel Coron and Peipei ShangSIAM Journal on Control and Optimization 51 (2) 824 (2013)
https://doi.org/10.1137/120862247
Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions
Vincent PerrollazSIAM Journal on Control and Optimization 50 (4) 2025 (2012)
https://doi.org/10.1137/110833129
On the relaxation approximation of boundary control of the isothermal Euler equations
M. Dick, M. Gugat, M. Herty and S. SteffensenInternational Journal of Control 85 (11) 1766 (2012)
https://doi.org/10.1080/00207179.2012.703787
Simultaneous $H_\infty$ Vibration Control of Fluid/Plate System via Reduced-Order Controller
Bogdan Robu, Lucie Baudouin, Christophe Prieur and Denis ArzelierIEEE Transactions on Control Systems Technology 20 (3) 700 (2012)
https://doi.org/10.1109/TCST.2011.2144984
Controllability for a scalar conservation law with nonlocal velocity
Jean-Michel Coron and Zhiqiang WangJournal of Differential Equations 252 (1) 181 (2012)
https://doi.org/10.1016/j.jde.2011.08.042
Symmetry-Based Observers for Some Water-Tank Problems
Didier Auroux and Silvère BonnabelIEEE Transactions on Automatic Control 56 (5) 1046 (2011)
https://doi.org/10.1109/TAC.2010.2067291
Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system
Peipei Shang and Zhiqiang WangJournal of Differential Equations 250 (2) 949 (2011)
https://doi.org/10.1016/j.jde.2010.09.003
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
Karine Beauchard and Camille LaurentJournal de Mathématiques Pures et Appliquées 94 (5) 520 (2010)
https://doi.org/10.1016/j.matpur.2010.04.001
Exact Boundary Controllability for 1-D Quasilinear Hyperbolic Systems with a Vanishing Characteristic Speed
Jean-Michel Coron, Oliver Glass and Zhiqiang WangSIAM Journal on Control and Optimization 48 (5) 3105 (2010)
https://doi.org/10.1137/090749268
Boundary Damping for Mixed Finite/Infinite Dimensional Systems
Ramaprakash Bayadi and Ravi N. BanavarIFAC Proceedings Volumes 43 (21) 386 (2010)
https://doi.org/10.3182/20100915-3-IT-2017.00079
2960 (2010)
https://doi.org/10.1109/CDC.2010.5717438
Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain
Eduardo Cerpa and Emmanuelle CrépeauAnnales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (2) 457 (2009)
https://doi.org/10.1016/j.anihpc.2007.11.003
Local exact Lagrangian controllability of the Burgers viscous equation
Thierry HorsinAnnales de l'Institut Henri Poincaré C, Analyse non linéaire 25 (2) 219 (2008)
https://doi.org/10.1016/j.anihpc.2006.11.009
A controllability result for the 1-D isentropic Euler equation
Olivier GlassJournées équations aux dérivées partielles 1 (2008)
https://doi.org/10.5802/jedp.18
Local Controllability of a One-Dimensional Beam Equation
Karine BeauchardSIAM Journal on Control and Optimization 47 (3) 1219 (2008)
https://doi.org/10.1137/050642034
Controllablity of a quantum particle in a 1D variable domain
Karine BeauchardESAIM: Control, Optimisation and Calculus of Variations 14 (1) 105 (2008)
https://doi.org/10.1051/cocv:2007047
Exact Controllability of a Nonlinear Korteweg–de Vries Equation on a Critical Spatial Domain
Eduardo CerpaSIAM Journal on Control and Optimization 46 (3) 877 (2007)
https://doi.org/10.1137/06065369X
Control of Coupled Partial Differential Equations
Martin GugatInternational Series of Numerical Mathematics, Control of Coupled Partial Differential Equations 155 69 (2007)
https://doi.org/10.1007/978-3-7643-7721-2_4
Controllability of a quantum particle in a moving potential well
Karine Beauchard and Jean-Michel CoronJournal of Functional Analysis 232 (2) 328 (2006)
https://doi.org/10.1016/j.jfa.2005.03.021
6 pp. (2006)
https://doi.org/10.1109/ACC.2006.1655450
GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS
JEAN-MICHEL CORON and EMMANUEL TRÉLATCommunications in Contemporary Mathematics 08 (04) 535 (2006)
https://doi.org/10.1142/S0219199706002209
Local controllability of a 1-D Schrödinger equation
Karine BeauchardJournal de Mathématiques Pures et Appliquées 84 (7) 851 (2005)
https://doi.org/10.1016/j.matpur.2005.02.005
5251 (2005)
https://doi.org/10.1109/CDC.2005.1582996
1068 (2005)
https://doi.org/10.1109/CDC.2005.1582299
On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well
Jean-Michel CoronComptes Rendus. Mathématique 342 (2) 103 (2005)
https://doi.org/10.1016/j.crma.2005.11.004
Elliptic and Parabolic Problems
Jean-Michel CoronProgress in Nonlinear Differential Equations and Their Applications, Elliptic and Parabolic Problems 63 179 (2005)
https://doi.org/10.1007/3-7643-7384-9_20
Optimal Control for Traffic Flow Networks
M. Gugat, M. Herty, A. Klar and G. LeugeringJournal of Optimization Theory and Applications 126 (3) 589 (2005)
https://doi.org/10.1007/s10957-005-5499-z
Global controllability between steady supercritical flows in channel networks
Martin Gugat, Günter Leugering and E. J. P. Georg SchmidtMathematical Methods in the Applied Sciences 27 (7) 781 (2004)
https://doi.org/10.1002/mma.471
Control of the surface of a fluid by a wavemaker
Lionel RosierESAIM: Control, Optimisation and Calculus of Variations 10 (3) 346 (2004)
https://doi.org/10.1051/cocv:2004012
Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
Jean-Michel Coron and Emmanuel TrélatSIAM Journal on Control and Optimization 43 (2) 549 (2004)
https://doi.org/10.1137/S036301290342471X
Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations
Christophe Prieur and Jonathan de HalleuxSystems & Control Letters 52 (3-4) 167 (2004)
https://doi.org/10.1016/j.sysconle.2003.11.008
Control of a Quantum Particle in a Moving Potential Well
Pierre RouchonIFAC Proceedings Volumes 36 (2) 287 (2003)
https://doi.org/10.1016/S1474-6670(17)38906-1
Controllability of a fluid in a 1-D tank
Jean-Michel CoronIFAC Proceedings Volumes 36 (19) 11 (2003)
https://doi.org/10.1016/S1474-6670(17)33295-0
Boundary Controllability between Sub- and Supercritical Flow
Martin GugatSIAM Journal on Control and Optimization 42 (3) 1056 (2003)
https://doi.org/10.1137/S0363012902409660
2 1497 (2002)
https://doi.org/10.1109/CDC.2002.1184731
COMPLETE STABILIZATION OF A TANK
Christophe Prieur and Jonathan de HalleuxIFAC Proceedings Volumes 35 (1) 193 (2002)
https://doi.org/10.3182/20020721-6-ES-1901.00282