Abstract In this paper, feedback control based on discrete-time state observations is used to study the inner synchronization of stochastic impulsive coupled systems (SICSs). Therein, the coupling strength of SICSs is state-dependent switching and time-varying under each switching. Besides, by means of average impulsive interval approach, the Lyapunov method and the graph theory, a synchronization criterion of SICSs is presented. As an application, stochastic impulsive coupled Chua’s circuits with state-dependent switching coupling strength are investigated for the first time and some sufficient conditions are given. Finally, in order to illustrate the effectiveness of our main results, some numerical simulations are presented.

中文翻译：

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基于离散时间状态观测的随机脉冲耦合系统同步反馈控制

摘要 本文采用基于离散时间状态观测的反馈控制来研究随机脉冲耦合系统（SICSs）的内部同步问题。其中，SICS 的耦合强度是状态相关的切换，并且在每次切换下随时间变化。此外，利用平均脉冲区间法、Lyapunov方法和图论，提出了SICSs的同步准则。作为应用，首次研究了具有状态相关开关耦合强度的随机脉冲耦合蔡氏电路，并给出了一些充分条件。最后，为了说明我们主要结果的有效性，给出了一些数值模拟。