Stochastic finite-time stabilization for discrete-time positive Markov jump time-delay systems |
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| Institution: | 1. School of Software, Dalian Jiaotong University, Dalian 116052, PR China;2. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment (Dalian University of Technology), Ministry of Education, PR China;3. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, PR China;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China;3. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;1. School of Engineering, Qufu Normal University, Rizhao 276826, China;2. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;3. Department of Mathematics, Harbin Institute of Technology, Weihai 150001, China;4. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China;5. School of Mathematical Science, Qufu Normal University, Qufu 273165, China;1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong 266520, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China;1. Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen 518055, PR China;2. School of Information and Control Engineering, Liaoning Shihua University, Fushun 113000, PR China;3. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China |
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| Abstract: | In this paper, the problems of stochastic finite-time stability and stabilization of discrete-time positive Markov jump systems are investigated. To deal with time-varying delays and switching transition probability (STP), stochastic finite-time stability conditions are established under mode-dependent average dwell time (MDADT) switching signal by developing a stochastic copositive Lyapunov-Krasovskii functional approach. Then a dual-mode dependent output feedback controller is designed, thus stochastic finite-time stabilization is achieved based on linear programming technique. Finally, two examples are given to show the effectiveness of our results. |
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