Network of conservation laws : Stability analysis
Résumé
Networks of linear hyperbolic conservation laws appear in many applications of engineering sciences. The aim of this presentation is to propose new conditions for stability and stabilization for such a kind of dynamical systems. For this, we propose first a state-space realization of networks of linear hyperbolic conservation laws via difference equations. Then, based on some recent works, we propose sufficient conditions for exponential stability, which appear also to be necessary and sufficient in some particular cases. Then, the stabilization problem will be analyzed with constructive methods for state feedback synthesis.