Boundary feedback control and Lyapunov stability analysis for physical networks of 2*2 hyperbolic balance laws

Bastin, Georges;Coron, J.-M.;d'Andrea-Novel, Brigitte
(2008) 2008 47th IEEE Conference on Decision and Control — Location: Cancun, Mexico (9.December.2008)

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  • Bastin, Georgesorcid-logoUCLouvain
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  • Coron, J.-M.
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  • d'Andrea-Novel, Brigitte
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Abstract
Sufficient dissipative boundary conditions are given for the exponential stability of equilibria in physical networks of 2 * 2 nonlinear hyperbolic balance laws under boundary feedback control. The analysis relies on the use of an explicit strict Lyapunov function.
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Bastin, G., Coron, J.-M., & d’Andrea-Novel, B. (2008). Boundary feedback control and Lyapunov stability analysis for physical networks of 2*2 hyperbolic balance laws. 2008 47th IEEE Conference on Decision and Control, p. 1454-1458. https://doi.org/10.1109/CDC.2008.4738857