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General synchronization criteria for nonlinear Markovian systems with random delays |
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| Authors: | Xinsong Yang Chen Xu Jianwen Feng Jianquan Lu |
| Institution: | 1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China;2. Key Laboratory of Optimization and Control, Ministry of Education, Chongqing 401331, China;3. College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China;4. School of Mathematics, Southeast University, Nanjing 210096, China;5. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
| Abstract: | It is well known that control of Markovian systems is a difficult problem. This paper considers synchronization control of Markovian coupled nonlinear systems with random delays. A new control scheme is proposed. Sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained such that the coupled system can be asymptotically synchronized onto an isolated system. The synchronization criteria include classical mode-dependent and mode-independent results as special cases. The design method of the control gains is also given. Compared with mode-dependent and mode-independent control methods, our results are more practical and have lower conservatism, respectively. Numerical simulations are given to verify the effectiveness of the theoretical results. |
| Keywords: | Corresponding author at: School of Mathematical Sciences Chongqing Normal University Chongqing 401331 China |
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