Stability of mode-dependent linear switched singular systems with stable and unstable subsystems |
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| Authors: | Jumei Wei Huimin Zhi Kai Liu Xiaowu Mu |
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| Institution: | 1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China;2. College of Science, Henan Institute of Engineering, Zhengzhou, Henan 451191, China |
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| Abstract: | This paper studies the E-exponential stability of mode-dependent linear switched singular systems with stable and unstable subsystems. First, by constructing an appropriate multiple discontinuous Lyapunov function, new sufficient conditions of E-exponential stability for linear switched singular systems are established. Considering the feature of mode-dependent average dwell time switching, we adopt the switching strategy where fast switching and slowing switching are respectively applied to unstable and stable subsystems. Compared with the existing results, our approach is more flexible and tighter bounds can be obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed criteria. |
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| Keywords: | Corresponding author |
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