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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2015

Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the {$C^1$}-norm

Résumé

This paper is concerned with boundary dissipative conditions that guarantee the exponential stability of classical solutions of one-dimensional quasi-linear hyperbolic systems. We present a comprehensive review of the results that are available in the literature. The main result of the paper is then to supplement these previous results by showing how a new Lyapunov stability approach can be used for the analysis of boundary conditions that are known to be dissipative for the C1-norm.
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Dates et versions

hal-01449620 , version 1 (30-01-2017)

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Jean-Michel Coron, Georges Bastin. Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the {$C^1$}-norm. SIAM Journal on Control and Optimization, 2015, 53 (3), pp.1464--1483. ⟨10.1137/14097080X⟩. ⟨hal-01449620⟩
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