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Dynamic Boundary Stabilization of Linear and Quasi-Linear Hyperbolic Systems

Abstract : Systems governed by hyperbolic partial differential equations with dynamics associated with their boundary conditions are considered in this paper. These infinite dimensional systems can be described by linear or quasi-linear hyperbolic equations. By means of Lyapunov based techniques, some sufficient conditions are derived for the exponential stability of such systems. A polytopic approach is developed for quasi-linear hyperbolic systems in order to guarantee stability in a given region around an equilibrium point. An isentropic inviscid flow model is used to illustrate some of the main results.
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https://hal.archives-ouvertes.fr/hal-00718725
Contributor : Felipe Castillo Buenaventura <>
Submitted on : Wednesday, July 18, 2012 - 9:18:47 AM
Last modification on : Thursday, March 25, 2021 - 2:37:56 PM
Long-term archiving on: : Friday, October 19, 2012 - 2:25:07 AM

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Felipe Castillo Buenaventura, Emmanuel Witrant, Christophe Prieur, Luc Dugard. Dynamic Boundary Stabilization of Linear and Quasi-Linear Hyperbolic Systems. CDC 2012 - 51st IEEE Conference on Decision and Control, Dec 2012, Maui, Hawaï, United States. pp.2952-2957. ⟨hal-00718725⟩

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