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):

Null Controllability of a Coupled Degenerate System with the First Order Terms

Runmei Du and Fengdan Xu
Journal of Dynamical and Control Systems 24 (1) 83 (2018)
DOI: 10.1007/s10883-016-9353-4
See this article

Controllability of a 2 × 2 parabolic system by one force with space-dependent coupling term of order one

Michel Duprez
ESAIM: Control, Optimisation and Calculus of Variations 23 (4) 1473 (2017)
DOI: 10.1051/cocv/2016061
See this article

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

Jérôme Le Rousseau and Gilles Lebeau
ESAIM: Control, Optimisation and Calculus of Variations 18 (3) 712 (2012)
DOI: 10.1051/cocv/2011168
See this article

Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Jawad Salhi
Electronic Journal of Qualitative Theory of Differential Equations (31) 1 (2018)
DOI: 10.14232/ejqtde.2018.1.31
See this article

A new Carleman inequality for parabolic systems with a single observation and applications

Assia Benabdallah, Michel Cristofol, Patricia Gaitan and Luz de Teresa
Comptes Rendus Mathematique 348 (1-2) 25 (2010)
DOI: 10.1016/j.crma.2009.11.001
See this article

Simultaneous null controllability with constraint on the control

Carole Louis-Rose
Applied Mathematics and Computation 219 (11) 6372 (2013)
DOI: 10.1016/j.amc.2012.12.022
See this article

Controllability to trajectories for some parabolic systems of three and two equations by one control force

Luz Teresa, Patricia Gaitan, Michel Cristofol and Assia Benabdallah
Mathematical Control and Related Fields 4 (1) 17 (2013)
DOI: 10.3934/mcrf.2014.4.17
See this article

Null Controllability of the Stabilized Kuramoto--Sivashinsky System with One Distributed Control

Eduardo Cerpa, Alberto Mercado and Ademir F. Pazoto
SIAM Journal on Control and Optimization 53 (3) 1543 (2015)
DOI: 10.1137/130947969
See this article

Null Controllability of Some Systems of Two Parabolic Equations with One Control Force

Sergio Guerrero
SIAM Journal on Control and Optimization 46 (2) 379 (2007)
DOI: 10.1137/060653135
See this article

Boundary controllability of parabolic coupled equations

Enrique Fernández-Cara, Manuel González-Burgos and Luz de Teresa
Journal of Functional Analysis 259 (7) 1720 (2010)
DOI: 10.1016/j.jfa.2010.06.003
See this article

The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials

F. Ammar-Khodja, A. Benabdallah, M. González-Burgos and L. de Teresa
Journal de Mathématiques Pures et Appliquées 96 (6) 555 (2011)
DOI: 10.1016/j.matpur.2011.06.005
See this article

Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary

Guillaume Olive
Mathematics of Control, Signals, and Systems 23 (4) 257 (2012)
DOI: 10.1007/s00498-011-0071-x
See this article

Recent results on the controllability of linear coupled parabolic problems: A survey

Luz Teresa, Manuel González-Burgos, Assia Benabdallah and Farid Ammar-Khodja
Mathematical Control and Related Fields 1 (3) 267 (2011)
DOI: 10.3934/mcrf.2011.1.267
See this article

Stability results for the parameter identification inverse problem in cardiac electrophysiology

Jamila Lassoued, Moncef Mahjoub and Néjib Zemzemi
Inverse Problems 32 (11) 115002 (2016)
DOI: 10.1088/0266-5611/32/11/115002
See this article

Controllability for a class of reaction–diffusion systems: the generalized Kalman's condition

Farid Ammar-Khodja, Assia Benabdallah, Cédric Dupaix and Manuel González-Burgos
Comptes Rendus Mathematique 345 (10) 543 (2007)
DOI: 10.1016/j.crma.2007.10.023
See this article

Null controllability of a class of systems governed by coupled degenerate equations

Runmei Du and Chunpeng Wang
Applied Mathematics Letters 26 (1) 113 (2013)
DOI: 10.1016/j.aml.2012.04.005
See this article

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

Assia Benabdallah, Yves Dermenjian and Jérôme Le Rousseau
Journal of Mathematical Analysis and Applications 336 (2) 865 (2007)
DOI: 10.1016/j.jmaa.2007.03.024
See this article

Null Controllability of a Parabolic System with a Cubic Coupling Term

Jean-Michel Coron, Sergio Guerrero and Lionel Rosier
SIAM Journal on Control and Optimization 48 (8) 5629 (2010)
DOI: 10.1137/100784539
See this article

Inverse problem for a parabolic system with two components by measurements of one component

Assia Benabdallah, Michel Cristofol, Patricia Gaitan and Masahiro Yamamoto
Applicable Analysis 88 (5) 683 (2009)
DOI: 10.1080/00036810802555490
See this article

Approximate controllability of a reaction-diffusion system

Emmanuelle Crépeau and Christophe Prieur
Systems & Control Letters 57 (12) 1048 (2008)
DOI: 10.1016/j.sysconle.2008.07.003
See this article

Stability results for a reaction-diffusion system with a single measurement

Hichem Ramoul, Patricia Gaitan and Michel Cristofol
Journal of Physics: Conference Series 73 012018 (2007)
DOI: 10.1088/1742-6596/73/1/012018
See this article

On the boundary controllability of non-scalar parabolic systems

Enrique Fernández-Cara, Manuel González-Burgos and Luz de Teresa
Comptes Rendus Mathematique 347 (13-14) 763 (2009)
DOI: 10.1016/j.crma.2009.04.020
See this article

Controllability of Some Coupled Stochastic Parabolic Systems with Fractional Order Spatial Differential Operators by One Control in the Drift

Xu Liu
SIAM Journal on Control and Optimization 52 (2) 836 (2014)
DOI: 10.1137/130926791
See this article

Carleman estimates and an inverse heat source problem for the thermoelasticity system

Masahiro Yamamoto
Inverse Problems 27 (1) 015006 (2011)
DOI: 10.1088/0266-5611/27/1/015006
See this article

Internal Feedback Stabilization of Nonstationary Solutions to Semilinear Parabolic Systems

Cătălin-George Lefter
Journal of Optimization Theory and Applications 170 (3) 960 (2016)
DOI: 10.1007/s10957-016-0964-4
See this article

Carleman Estimates and null controllability of coupled degenerate systems

Lahcen Maniar, Abdelkarim Hajjaj, Farid Ammar khodja and El Mustapha Ait Ben Hassi
Evolution Equations and Control Theory 2 (3) 441 (2013)
DOI: 10.3934/eect.2013.2.441
See this article

Null controllability with constraints on the state for the reaction–diffusion system

Peng Gao
Computers & Mathematics with Applications 70 (5) 776 (2015)
DOI: 10.1016/j.camwa.2015.05.027
See this article

Insensitizing controls for the Navier–Stokes equations

Mamadou Gueye
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (5) 825 (2013)
DOI: 10.1016/j.anihpc.2012.09.005
See this article

Recent Advances in PDEs: Analysis, Numerics and Control

Víctor Hernández-Santamaría and Luz de Teresa
SEMA SIMAI Springer Series, Recent Advances in PDEs: Analysis, Numerics and Control 17 117 (2018)
DOI: 10.1007/978-3-319-97613-6_7
See this article

Carleman estimate for a one-dimensional system of m coupled parabolic PDEs with BV diffusion coefficients

Hichem Ramoul
Boundary Value Problems 2014 (1) 195 (2014)
DOI: 10.1186/s13661-014-0195-2
See this article

Internal Observability for Coupled Systems of Linear Partial Differential Equations

Pierre Lissy and Enrique Zuazua
SIAM Journal on Control and Optimization 57 (2) 832 (2019)
DOI: 10.1137/17M1119160
See this article

Mathematics of Complexity and Dynamical Systems

Lionel Rosier
Mathematics of Complexity and Dynamical Systems 395 (2012)
DOI: 10.1007/978-1-4614-1806-1_26
See this article

On the observability inequality of coupled wave equations: the case without boundary

Yan Cui, Camille Laurent and Zhiqiang Wang
ESAIM: Control, Optimisation and Calculus of Variations 26 14 (2020)
DOI: 10.1051/cocv/2020004
See this article

Null-controllability of some reaction–diffusion systems with one control force

Farid Ammar Khodja, Assia Benabdallah and Cédric Dupaix
Journal of Mathematical Analysis and Applications 320 (2) 928 (2006)
DOI: 10.1016/j.jmaa.2005.07.060
See this article

Quantitative Fattorini–Hautus test and minimal null control time for parabolic problems

Farid Ammar Khodja, Assia Benabdallah, Manuel González-Burgos and Morgan Morancey
Journal de Mathématiques Pures et Appliquées 122 198 (2019)
DOI: 10.1016/j.matpur.2018.05.006
See this article

Xia Li, Yungang Liu, Zaihua Xu and Jian Li
6794 (2017)
DOI: 10.1109/CAC.2017.8244001
See this article