Singular perturbation approximation by means of a \(H^2\) Lyapunov function for linear hyperbolic systems

DOI10.1016/j.sysconle.2015.10.015zbMath1336.93107OpenAlexW2208053135MaRDI QIDQ5963124

Antoine Girard, Ying Tang, Christophe Prieur

Publication date: 4 March 2016

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2015.10.015

zbMATH Keywords

singular perturbationdistributed parameter systemsLyapunov methods

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Design of adaptive output feedback synchronizing controllers for networked PDEs with boundary and in-domain structured perturbations and disturbances ⋮ Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation

Cites Work

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• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• Two-step Lax-Friedrichs method
• Singular perturbation methods for slow-fast dynamics
• Tikhonov theorem for linear hyperbolic systems
• Singular perturbations and order reduction in control theory - an overview
• Singularly perturbed problems in partial differential equations: A survey
• Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
• Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
• Singular perturbation of linear regulators: Basic theorems
• Singular perturbations of a class of time-optimal controls
• Solving Hyperbolic PDEs in MATLAB

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