Asymptotic stabilization of stationnary shock waves using a boundary feedback law

Vincent Perrollaz (1)

1 IDP - Institut Denis Poisson

In this paper we consider scalar conservation laws with a convex flux. Given a stationnary shock, we provide a feedback law acting at one boundary point such that this solution is now asymptotically stable in L 1-norm in the class of entropy solution.

Mots clés: Entropy solutions; PDE control; Conservation laws; Generalized characteristics; Asymptotic stabilization

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]

Vincent Perrollaz. Asymptotic stabilization of stationnary shock waves using a boundary feedback law. 2018. ⟨hal-01685858⟩