Switching Rules for Stabilization of Linear Systems of Conservation Laws

DOI10.1137/140953952zbMath1358.93148OpenAlexW1511453865MaRDI QIDQ5258944

Pierre-Olivier Lamare, Christophe Prieur, Antoine Girard

Publication date: 24 June 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140953952

zbMATH Keywords

Lyapunov functionstabilizabilityhyperbolic systemsswitched systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21) Hyperbolic conservation laws (35L65) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) First-order hyperbolic equations (35L02)

Related Items (10)

Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input ⋮ Event-based control of linear hyperbolic systems of conservation laws ⋮ Event-based aperiodically intermittent pinning synchronization control strategy for linearly coupled complex networks ⋮ Stochastic stability of Markov jump hyperbolic systems with application to traffic flow control ⋮ Approximate moving horizon estimation for switching conservative linear infinite-dimensional systems ⋮ Boundary observer-based control for hyperbolic PDE-ODE cascade systems with stochastic jumps ⋮ Adaptive boundary control of constant-parameter reaction-diffusion PDEs using regulation-triggered finite-time identification ⋮ Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications ⋮ One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates ⋮ Event-Triggered Gain Scheduling of Reaction-Diffusion PDEs

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