Stability analysis of a class of switched systems

Abstract The stability analysis problem of a class of linear switched systems is investigated in this paper. Comparing with the extended Lyapunov function method currently used, a new approach to stability analysis of such systems, which is based on vector projection theory, is presented. As the results, several conditions for Lyapunov stability of linear switched systems are listed followed by concise proof. Finally, illustrative examples and simulation results are provided to show the efficacy of this new approach.