12 citations · 16 across the 3 of their papers we have counts for
3 papers
math.AP2018★ 1 cited
Asymptotic stabilization of stationnary shock waves using a boundary feedback law
Vincent Perrollaz
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…
math.AP2017★ 12 cited
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Martin Gugat, Vincent Perrollaz, Lionel Rosier
We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Ev…
math.AP2013★ 3 cited
Finite-Time Stabilization Of Systems Of Conservation Laws On Networks
Vincent Perrollaz, Lionel Rosier
We investigate the finite-time boundary stabilization of a 1-D first order quasilinear hyperbolic system of diagonal form on [0,1]. The dynamics of both boundary controls are gover…