Further results on exponential stability of switched systems

Addressed in this paper is the stability issue of continuous-time switched linear systems consisting of both stable and unstable subsystems under switching signals satisfying the constraint of mode-dependent average dwell time. A multiple discontinuous homogeneous polynomial Lyapunov function (MDHPLF) method is proposed, which results in, compared with existing works, less conservative sufficient conditions guaranteeing exponential stability of systems under consideration. It is proven that the conservatism of stability condition reduces as the degree of MDHPLF increases. In addition, all main results can be applied to scenarios where all subsystems are stable or unstable.