Finite-time filtering for switched linear systems with a mode-dependent average dwell time |
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| Affiliation: | 1. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, China;3. Freshman Education Department, Yangtze University, Jing Zhou, Hubei 434023, China;4. School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China;5. Department of Mathematics and Finance, Yunyang Teachers’ College, Shiyan, Hubei 442000, China;1. State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, China;2. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA 5005, Australia;3. College of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia;4. School of Automation, Guangdong University of Technology, and Guangdong Key Laboratory of IoT Information Processing, Guangzhou 510006, China |
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| Abstract: | This study considers the problem of finite-time filtering for switched linear systems with a mode-dependent average dwell time. By introducing a newly augmented Lyapunov–Krasovskii functional and considering the relationship between time-varying delays and their upper delay bounds, sufficient conditions are derived in terms of linear matrix inequalities such that the filtering error system is finite-time bounded and a prescribed noise attenuation level is guaranteed for all non-zero noises. Thus, a finite-time filter is designed for switched linear systems with a mode-dependent average dwell time. Finally, an example is given to illustrate the efficiency of the proposed methods. |
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| Keywords: | Finite-time stability Lyapunov–Krasovskii function Mode-dependent average dwell time Switched linear systems |
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