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.

DOI: 10.1137/070706847

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@article{Coron2008DissipativeBC, title={Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems}, author={Jean-Michel Coron and Georges Bastin and Brigitte d'Andr{\'e}a-Novel}, journal={SIAM J. Control and Optimization}, year={2008}, volume={47}, pages={1460-1498} }