New finite-time stability conditions of linear switched singular systems with finite-time unstable subsystems |
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| Authors: | Jumei Wei Xiuxiu Zhang Huimin Zhi Xiaowu Mu Xunlin Zhu |
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| Affiliation: | 1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of Chinaweijumei@zzu.edu.cn;3. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China |
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| Abstract: | ABSTRACTThis 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. |
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| Keywords: | switched singular systems finite-time stability MDADT |
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