Semi-time-dependent asynchronously switched control of continuous-time switched systems with persistent dwell time

This paper mainly concerns the issue of asynchronously switched control for a class of continuous-time switched linear systems with persistent dwell time (PDT). Asynchronous switching implies that when a subsystem switches the matched controller remains active for a finite period of time, such that the Lyapunov-like function increases. A semi-time-dependent (STD) multiple Lyapunov-like function with special form suitable to asynchronously switched systems is proposed, upon which a set of STD and mode-dependent stabilizing controllers is designed. The validity and advantage of the proposed results is demonstrated through a numerical example.