Showing posts with label PDE. Show all posts
Showing posts with label PDE. Show all posts
On Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries
1 comments Posted by Dagwood EngelbergAmin, Saurabh; Hante, Falk M.; and Bayen, Alexandre M.
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.
Pertaining to: Boundary Conditions, Dimensions, PDE, Systems
