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DISSIPATIVE BOUNDARY CONDITIONS FOR ONE-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS

Abstract : We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies on the construction of an explicit strict Lyapunov function. We compare our sufficient condition with other known sufficient conditions for nonlinear and linear one-dimensional hyperbolic systems.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00923596
Contributor : Brigitte d'Andréa-Novel <>
Submitted on : Friday, January 3, 2014 - 3:04:51 PM
Last modification on : Thursday, December 10, 2020 - 12:32:36 PM
Long-term archiving on: : Saturday, April 8, 2017 - 10:45:18 AM

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  • HAL Id : hal-00923596, version 1

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Jean-Michel Coron, Georges Bastin, Brigitte d'Andréa-Novel. DISSIPATIVE BOUNDARY CONDITIONS FOR ONE-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (3), pp.1460-1498. ⟨hal-00923596⟩

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