Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems
(2008) SIAM Journal on Control and Optimization — Vol. 47, n° 3, p. 1460-1498 (2008)
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- Authors
Bastin, Georges 
- 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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Citations
Coron, J.-M., Bastin, G., & d’Andrea-Novel, B. (2008). Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. SIAM Journal on Control and Optimization, 47(3), 1460-1498. https://doi.org/10.1137/070706847 (Original work published 2008)