Impulsive synchronization schemes of stochastic complex networks with switching topology: Average time approach |
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| Institution: | 1. Platform Technologies Research Institute, RMIT University, Melbourne, VIC 3001, Australia;2. Department of Mathematics, Southeast University, Nanjing 210096, PR China;3. Texas A&M University at Qatar, Doha, P.O. Box 23874, Qatar;1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;2. Shandong Key Laboratory of Medical Physics and Image Processing, Shandong Normal University, Ji’nan 250014, PR China;3. Center for Control and Engineering Computation, Shandong Normal University, Ji’nan 250014, PR China;1. Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai 200237, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China |
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| Abstract: | In this paper, a novel impulsive control law is proposed for synchronization of stochastic discrete complex networks with time delays and switching topologies, where average dwell time and average impulsive interval are taken into account. The side effect of time delays is estimated by Lyapunov–Razumikhin technique, which quantitatively gives the upper bound to increase the rate of Lyapunov function. By considering the compensation of decreasing interval, a better impulsive control law is recast in terms of average dwell time and average impulsive interval. Detailed results from a numerical illustrative example are presented and discussed. Finally, some relevant conclusions are drawn. |
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| Keywords: | Impulsive synchronization Stochastic complex networks Switching topology Average dwell time Average impulsive interval |
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