On the finite-time boundary dissipative for a class of hyperbolic systems. The networks example

This paper deals with the finite-time stabilizability of some hyperbolic systems by various feedbacks. We have shown under a finite-time boundary feedback laws, that a class of hyperbolic systems is finite-time stabilizable. The idea of this stabilization is based on “ strict minimal ” feedback laws and exploit the switching boundary conditions. Finally, we present the example of road traffic networks to illustrate our approach.