This paper concentrates on the almost sure synchronization for a class of stochastic multi-links coupled semi-Markov jump systems through aperiodically intermittent control. For these stochastic switching systems, almost sure synchronization is investigated by employing mode-dependent multiple Lyapunov-like function method and stochastic analysis. Notably, mode-dependent multiple Lyapunov-like function method is designed to provide more flexibility. In addition, when considering the sojourn time distribution of the semi-Markov jump, dependence on both the current state and the next state can effectively reduce unnecessary restrictions compared with previous assumption of the sojourn time distribution function. Ultimately, the Chua’s circuit along with numerical simulations are provided to validate the effectiveness of the theoretical results.

中文翻译：

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通过非周期间歇控制实现随机多链路半马尔可夫跳跃系统几乎确定的同步

本文主要研究通过非周期间歇控制实现一类随机多链路耦合半马尔可夫跳跃系统的几乎确定同步。对于这些随机切换系统，通过采用依赖于模式的多重李雅普诺夫函数方法和随机分析来研究几乎确定的同步。值得注意的是，模式相关的多重李亚普诺夫函数方法旨在提供更大的灵活性。此外，在考虑半马尔可夫跳跃的停留时间分布时，与先前假设的停留时间分布函数相比，对当前状态和下一状态的依赖可以有效减少不必要的限制。最终，提供蔡氏电路和数值模拟来验证理论结果的有效性。