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

Georges Bastin (1) , Jean-Michel Coron (2) , Brigitte d'Andréa-Novel (3)

1 CSAM - Centre for Systems Engineering and Applied Mechanics
2 LJLL - Laboratoire Jacques-Louis Lions
3 CAOR - Centre de Robotique

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.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

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⟩