Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations |
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Affiliation: | 1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;2. School of Computer Science and Technology, Harbin Institute of Technology (Weihai), Weihai 264209, PR China |
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Abstract: | In this paper, we formulate and investigate the synchronization of stochastic coupled systems via feedback control based on discrete-time state observations (SCSFD). The discrete-time state feedback control is used in the drift parts of response system. Combining Lyapunov method with graph theory, the upper bound of duration between two consecutive state observations is provided. And a global Lyapunov function of SCSFD is presented, which derives some sufficient criteria to guarantee the synchronization of drive–response systems in the sense of mean-square asymptotical synchronization. In addition, the theoretical results are applied to stochastic coupled oscillators and second-order Kuramoto oscillators. Finally, two numerical examples are given to verify the effectiveness of the theoretical results. |
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Keywords: | Synchronization Stochastic coupled systems Discrete-time state Feedback control Graph theory |
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