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Boundary Feedback Control and Lyapunov Stability Analysis for Physical Networks of 2 2 Hyperbolic Balance Laws

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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  • HAL Id : hal-00923599, version 1

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Georges Bastin, Jean-Michel Coron, Brigitte d'Andréa-Novel. Boundary Feedback Control and Lyapunov Stability Analysis for Physical Networks of 2 2 Hyperbolic Balance Laws. 47th Conference on Decision and Control, Dec 2008, Cancun, Mexico. ⟨hal-00923599⟩

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