Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time

Jean Auriol (1) , Florent Di Meglio (1)

1 CAS - Centre Automatique et Systèmes

— We solve the problem of stabilizing two coupled linear hyperbolic PDEs using actuation at both boundary of the spatial domain in minimum time. We design a novel Fredholm transformation similarly to backstepping approaches. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence time to zero.

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

Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time. Decision and Control (CDC), 2016 IEEE 55th Conference, Dec 2016, Las Vegas, United States. ⟨hal-01286860⟩