Stabilization of second order evolution equations by a class of unbounded feedbacks
ESAIM: COCV, 6 (2001) 361-386
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):
Well-Posedness of Systems of Linear Elasticity with Dirichlet Boundary Control and Observation
Bao-Zhu Guo and Zhi-Xiong ZhangSIAM Journal on Control and Optimization 48 (4) 2139 (2009)
https://doi.org/10.1137/070705593
Polynomial and analytic stabilization of a wave equation coupled with an Euler–Bernoulli beam
Kaïs Ammari and Serge NicaiseMathematical Methods in the Applied Sciences 32 (5) 556 (2009)
https://doi.org/10.1002/mma.1052
Perturbation de la dynamique des équations des ondes amorties
Romain JolyJournées équations aux dérivées partielles 1 (2008)
https://doi.org/10.5802/jedp.33
Observation of some elastic networks
Kaïs Ammari and Mouez DimassiComptes Rendus. Mathématique 347 (1-2) 33 (2008)
https://doi.org/10.1016/j.crma.2008.11.008
Exponential Stabilization of a Rayleigh Beam Using Collocated Control
George Weiss and Ruth F. CurtainIEEE Transactions on Automatic Control 53 (3) 643 (2008)
https://doi.org/10.1109/TAC.2008.919849
Control of Coupled Partial Differential Equations
K. Ammari, M. Tucsnak and G. TenenbaumInternational Series of Numerical Mathematics, Control of Coupled Partial Differential Equations 155 1 (2007)
https://doi.org/10.1007/978-3-7643-7721-2_1
On well-posedness, regularity and exact controllability for problems of transmission of plate equation with variable coefficients
Bao-Zhu Guo and Zhi-Chao ShaoQuarterly of Applied Mathematics 65 (4) 705 (2007)
https://doi.org/10.1090/S0033-569X-07-01069-9
Frequency domain approach for the polynomial stability of a system of partially damped wave equations
Zhuangyi Liu and Bopeng RaoJournal of Mathematical Analysis and Applications 335 (2) 860 (2007)
https://doi.org/10.1016/j.jmaa.2007.02.021
Well-posedness and regularity for an Euler–Bernoulli plate with variable coefficients and boundary control and observation
Bao-Zhu Guo and Zhi-Xiong ZhangMathematics of Control, Signals, and Systems 19 (4) 337 (2007)
https://doi.org/10.1007/s00498-007-0017-5
A generalized interpolation inequality and its application to the stabilization of damped equations
Pascal Bégout and Fernando SoriaJournal of Differential Equations 240 (2) 324 (2007)
https://doi.org/10.1016/j.jde.2007.06.003
On the well-posedness and regularity of the wave equation with variable coefficients
Bao-Zhu Guo and Zhi-Xiong ZhangESAIM: Control, Optimisation and Calculus of Variations 13 (4) 776 (2007)
https://doi.org/10.1051/cocv:2007040
Asymptotic behavior of some elastic planar networks of Bernoulli–Euler beams
Kaïs AmmariApplicable Analysis 86 (12) 1529 (2007)
https://doi.org/10.1080/00036810701734113
Remark on stabilization of tree-shaped networks of strings
Kaïs Ammari and Mohamed JellouliApplications of Mathematics 52 (4) 327 (2007)
https://doi.org/10.1007/s10492-007-0018-1
Regularity of an Euler-Bernoulli Equation with Neumann Control and Collocated Observation
Bao-Zhu Guo and Zhi-Chao ShaoJournal of Dynamical and Control Systems 12 (3) 405 (2006)
https://doi.org/10.1007/s10450-006-0006-x
Optimal Energy Decay Rate for Partially Damped Systems by Spectral Compensation
Paola Loreti and Bopeng RaoSIAM Journal on Control and Optimization 45 (5) 1612 (2006)
https://doi.org/10.1137/S0363012903437319
Exponential stabilization of well-posed systems by colocated feedback
Ruth F. Curtain and George WeissSIAM Journal on Control and Optimization 45 (1) 273 (2006)
https://doi.org/10.1137/040610489
989 (2006)
https://doi.org/10.1109/CHICC.2006.280842
Convergence of the wave equation damped on the interior to the one damped on the boundary
Romain JolyJournal of Differential Equations 229 (2) 588 (2006)
https://doi.org/10.1016/j.jde.2006.01.006
Model reference adaptive control of structurally perturbed second‐order distributed parameter systems
Michael A. Demetriou and Fariba FahrooInternational Journal of Robust and Nonlinear Control 16 (16) 773 (2006)
https://doi.org/10.1002/rnc.1100
The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
Bao-Zhu Guo and Xu ZhangSIAM Journal on Control and Optimization 44 (5) 1598 (2005)
https://doi.org/10.1137/040610702
Regularity of a Schrödinger equation with Dirichlet control and colocated observation
Bao-Zhu Guo and Zhi-Chao ShaoSystems & Control Letters 54 (11) 1135 (2005)
https://doi.org/10.1016/j.sysconle.2005.04.008
Stabilization of Generic Trees of Strings
Kais Ammari, Mohamed Jellouli and Moez KhenissiJournal of Dynamical and Control Systems 11 (2) 177 (2005)
https://doi.org/10.1007/s10883-005-4169-7
Decay rates of the plate equations
K. Ammari and M. KhenissiMathematische Nachrichten 278 (14) 1647 (2005)
https://doi.org/10.1002/mana.200310329
Energy decay estimates for the damped plate equation with a local degenerated dissipation
Rogelio Benavides Guzmán and Marius TucsnakSystems & Control Letters 48 (3-4) 191 (2003)
https://doi.org/10.1016/S0167-6911(02)00264-5
Riesz basis property of a second-order hyperbolic system with collocated scalar input-output
Bao-Zhu Guo and Yue-Hu LuoIEEE Transactions on Automatic Control 47 (4) 693 (2002)
https://doi.org/10.1109/9.995052
Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
Bao-Zhu Guo and Yue-Hu LuoSystems & Control Letters 46 (1) 45 (2002)
https://doi.org/10.1016/S0167-6911(01)00201-8
Stabilization of Beams with Nonlinear Feedback
Larbi BerrahmouneSIAM Journal on Control and Optimization 41 (4) 1166 (2002)
https://doi.org/10.1137/S036301290138852X