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New Results on Finite-Time Stability of Switched Linear Systems with Average Dwell Time

Abstract This paper is concerned with the finite-time stability (FTS) analysis for a class of switched linear systems with average dwell time (ADT), a more practical concept of extended finite time stability (EFTS) is proposed as the first attempt. A parameter-dependent description approach at the instants of each subsystem switched in and off is invoked to obtain the EFTS criterion. It has been shown the obtained criterion is less conservative than the existing results. The switched systems with only unstable subsystems is firstly addressed with ADT and mode-dependent ADT, the obtained results of ADT are extended to the ones with both stable and unstable subsystems. A numerical example is given to verify the theoretical findings.