On Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries

TitleOn Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries
Publication TypeConference Paper
Year of Publication2008
AuthorsAmin, S., F. M. Hante, and A. M. Bayen
Conference NameHSCC
Abstract

We consider stability of an infinite dimensional switching system, posed as a system of linear hyperbolic partial differential equations (PDEs) with reflecting boundaries, where the system parameters and the boundary conditions switch in time. Asymptotic stability of the solution for arbitrary switching is proved under commutativity of the advective velocity matrices and a joint spectral radius condition involving the boundary data.