L1-gain analysis and control of impulsive positive systems with interval uncertainty and time delay |
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| Affiliation: | 1. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China;2. Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, China;1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, China;2. Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education Beijing 100083, China;3. National Center for Mathematics and Interdisciplinary Sciences & Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China;4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. School of Automation Engineering, University of Electronic Science and Technology of China, Sichuan 611731, PR China;1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China;2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China |
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| Abstract: | This paper investigates L1-gain analysis and control of impulsive positive systems (IPSs) with interval uncertainty and time delay. For different types of impulsive effect, by means of the Razumikhin techniques and Lyapunov function theory, conditions are developed for guaranteeing the robust exponential stability with L1-gain performance. Then the positive stabilization with L1-gain performance is also addressed for IPSs with interval uncertainty and time delay through the state feedback control. In addition, the way to explore the minimum L1-gain is discussed. All the obtained conditions can be easily inspected by the linear programming (LP) method when some parameters are preset. Finally, simulations are provided to demonstrate the validity of the theoretical results. |
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