Communication Dans Un Congrès Année : 2012

Dynamic Boundary Stabilization of Linear and Quasi-Linear Hyperbolic Systems

Résumé

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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hal-00718725 , version 1 (18-07-2012)

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  • HAL Id : hal-00718725 , version 1

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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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