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Journal articles
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.
Cited literature [20 references]
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
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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2008-SIAM.pdf
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