Robust stability of uncertain switched systems with interval delays

Robust stability of uncertain switched systems with interval delays is studied in this paper. By utilizing a novel Lyapunov-Krasovskii Function, a sufficient condition for the stability of the systems is given. Based on single Lyapunov function technique, a switching law is designed to make the system be robust stable. The stability condition of systems can be obtained by solve a linear matrix inequalities (LMIs).