Boundary control design for cascades of hyperbolic 2 * 2 PDE systems via graph theory

Abstract

The article is concerned with the design of boundary control laws for stabilizing systems of 2 * 2 first order quasi-linear hyperbolic PDEs. A new graph representation of such systems represents the interactions between the characteristic curves and the boundary control laws, the invariant graph, is introduced. The structure of the invariant graph is used to design stabilizing control laws and an analytical stability condition is given.Anglai