Exponential stability of distributed parameter systems governed by symmetric hyperbolic partial differential equations using Lyapunov's second method
ESAIM: COCV, 15 2 (2009) 403-425
Published online: 2008-05-30
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):
Semi-global stabilization of a nonlinear transport equation with nonlocal velocity
Sylvain Ervedoza, Zhiqiang Wang and Jiacheng ZhangESAIM: Control, Optimisation and Calculus of Variations 31 29 (2025)
https://doi.org/10.1051/cocv/2025019
Exponential stability in the L-norm of nonlinear coupled hyperbolic spatially inhomogeneous systems
Vitalii Slynko, Osman Tunç and Ivan AtamasApplied Mathematics and Computation 472 128632 (2024)
https://doi.org/10.1016/j.amc.2024.128632
The dichotomy property in stabilizability of 2 × 2 linear hyperbolic systems
Xu Huang, Zhiqiang Wang and Shijie ZhouESAIM: Control, Optimisation and Calculus of Variations 30 24 (2024)
https://doi.org/10.1051/cocv/2024010
Lyapunov Functions for Linear Hyperbolic Systems
Ivan Atamas, Sergey Dashkovskiy and Vitalii SlynkoIEEE Transactions on Automatic Control 68 (11) 6496 (2023)
https://doi.org/10.1109/TAC.2023.3247879
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
Stability Analysis for a Class of Linear $2\times 2$ Hyperbolic PDEs Using a Backstepping Transform
David Bou Saba, Federico Bribiesca-Argomedo, Jean Auriol, Michael Di Loreto and Florent Di MeglioIEEE Transactions on Automatic Control 65 (7) 2941 (2020)
https://doi.org/10.1109/TAC.2019.2934384
387 (2017)
https://doi.org/10.1109/CCSSE.2017.8087963
Finite‐time stability and stabilisation of distributed parameter systems
Xueyang Li and Weijie MaoIET Control Theory & Applications 11 (5) 640 (2017)
https://doi.org/10.1049/iet-cta.2016.1087
Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales
Ying Tang and Guilherme MazantiAutomatica 85 386 (2017)
https://doi.org/10.1016/j.automatica.2017.07.052
Control of shallow waves of two unmixed fluids by backstepping
Mamadou Diagne, Shu-Xia Tang, Ababacar Diagne and Miroslav KrsticAnnual Reviews in Control 44 211 (2017)
https://doi.org/10.1016/j.arcontrol.2017.09.003
Global Feedback Stabilization for a Class of Nonlocal Transport Equations: The Continuous and Discrete Case
Wenbin Chen, Chang Liu and Zhiqiang WangSIAM Journal on Control and Optimization 55 (2) 760 (2017)
https://doi.org/10.1137/15M1048914
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Georges Bastin and Jean-Michel CoronProgress in Nonlinear Differential Equations and Their Applications, Stability and Boundary Stabilization of 1-D Hyperbolic Systems 88 159 (2016)
https://doi.org/10.1007/978-3-319-32062-5_5
Stability and L2 ‐gain performance for non‐linear switched impulsive systems
Yang Liu, Jianquan Lu and Bo WuIET Control Theory & Applications 9 (2) 300 (2015)
https://doi.org/10.1049/iet-cta.2014.0015
Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm
Jean-Michel Coron and Georges BastinSIAM Journal on Control and Optimization 53 (3) 1464 (2015)
https://doi.org/10.1137/14097080X
Steady state of three-fluid parallel-flow heat exchanger system
Jian-Hua Chen and Leszek MalinowskiJournal of Engineering Mathematics 87 (1) 153 (2014)
https://doi.org/10.1007/s10665-013-9675-0
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