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

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Abstract
This paper addresses the finite-time stability problem of linear switched singular systems with finite-time unstable subsystems. Dynamic decomposition techniques are used to transform such systems into equivalent one that is a reduced-order switched normal systems. Based on the mode-dependent average dwell time (MDADT) switching signal, new sufficient conditions are presented to guarantee the linear switched singular systems with finite-time unstable subsystems being finite-time stability, finite-time bounded and finite-time stabilization. Finally, a numerical example is employed to verify the efficiency of the preceding method.
Funding Information
  • National Natural Science Foundation of China (61873245, 11401540, 11571322)
  • Foundation of Henan Educational Committee, China (17A110031)

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