New finite-time stability conditions of linear discrete switched singular systems with finite-time unstable subsystems

The finite-time stability problem of linear discrete switched singular systems with finite-time unstable subsystems is studied in this paper. By using dynamic decomposition technique, the original switched singular systems can be transformed into equivalent one that is a reduced-order switched normal systems. For linear discrete switched singular systems, based on the mode-dependent average dwell time (MADAT) switching signal, new sufficient conditions are presented to guarantee the considered systems with finite-time unstable subsystems being finite-time stability, finite-time bounded. At last, two numerical examples is employed to verify the efficiency of the preceding method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.