Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices |
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Institution: | 1. School of Electrical Engineering, Hunan University of Technology, Zhuzhou 412000, China;2. School of Mathematical Science, Sunway University, Selangor Darul Ehsan 47500, Malaysia;1. School of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China;2. School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, 610106, China;3. School of Mathematics, Southeast University, Nanjing 210096, China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;5. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221000, China;1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Department of Electrical Engineering & Electronics, University of Liverpool, Liverpool L69 3GJ, United Kingdom;3. Institute for Intelligent Systems, University of Johannesburg, Johannesburg, 2092, South Africa;1. School of Computer and Artificial Intelligence(School of Software), Huaihua University, Huaihua, Hunan 418008, China;2. College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China;3. Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China |
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Abstract: | This paper is focused on delay-dependent stability problem of time-varying delay systems. By introducing delay-derivative-dependent slack matrices, relaxed stability conditions are derived based on Lyapunov-Krasovskii functional approach. As the delay-derivative-dependent slack matrices provide extra freedom to optimize the Lyapunov matrices, less conservative results are obtained. Two benchmark examples are provided to verify the effectiveness of the proposed approach. |
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