Stability and stabilization of switched stochastic systems under asynchronous switching |
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| Affiliation: | 1. Department of Automation, University of Science and Technology of China, Hefei 230026, China;2. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;2. College of Mathematics and Physics and Automation Research Institute, Bohai University, Jinzhou 121013, China;3. School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, China;4. Institute of Automation, Qufu Normal University, Qufu 273165, China;1. Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW 2007, Australia;2. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China;3. Global Big Data Technologies Centre, University of Technology Sydney, Ultimo, NSW 2007, Australia;4. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW 2751, Australia |
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| Abstract: | This paper studies the stability and stabilization problems for a class of switched stochastic systems under asynchronous switching. The asynchronous switching refers to that the switching of the candidate controllers does not coincide with the switching of system modes. Two situations are considered: (1) time-delayed switching situation, that is, the switching of the candidate controllers has a lag to the switching of the system modes; (2) mismatched switching situation, the switching of the candidate controllers does not match the switching of the system modes. Using average dwell time and Lyapunov-like function, sufficient conditions are established for stochastic input-to-state stability of the whole system. Also, the stabilizing controller design approach is proposed for switched stochastic linear systems. The minimal average dwell time and the controller gain are achieved. Finally, a numerical example is used to demonstrate the validity of the developed results. |
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| Keywords: | Asynchronous switching Average dwell time Switched system Stochastic stability |
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