Finite-time stabilization for a class of switched time-delay systems under asynchronous switching

Switched control systems can be used to describe many practical processes with switching phenomena, such as power electronics, mechanical systems, etc. In this paper, the problem of finite-time stabilization under asynchronous switching is dealt with for a class of switched time-delay systems with nonlinear disturbances. Firstly, the nonlinear uncertainties are transformed into the linear time-varying forms via the differential mean value theorem under some assumptions. Secondly, by applying the average dwell time method and convexity principle, a finite-time stability condition for the unforced switched time-delay system is established. Finally, an asynchronous switching state feedback controller is designed which renders the considered system finite-time stable. A numerical example is provided to show the effectiveness of the developed results.