Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

Authors:
Jean-Michel Coron;Georges Bastin;Brigitte d'Andréa-Novel
Affiliations:
coron@ann.jussieu.fr;Georges.Bastin@uclouvain.be;brigitte.dandrea-novel@ensmp.fr
Venue:
SIAM Journal on Control and Optimization
Year:
2008

Citing 0
Cited 3

Brief paper: Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

Automatica (Journal of IFAC)
Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control

Automatica (Journal of IFAC)
Analysis and stabilization for networked linear hyperbolic systems of rationally dependent conservation laws

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.01

Visualization

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.