SIAM Journal on Control and Optimization, Volume 59, Issue 1, Page 24-49, January 2021.
This paper addresses the problems of the input-to-state stochastic stability for neutral switched stochastic delay systems. Two switching signals in the input controller, including the external input disturbance, are considered: (1) the synchronous switching signal, which indicates that the switching signal of the input controller coincides with that of the controlled subsystems, and (2) the asynchronous switching signal, which signifies that two switching instants for the input controller and the subsystem are not identical. Irrespective of which switching signal exists in the input controller and the subsystem, multiple Lyapunov--Krasovskii functions, generalized delay integral inequality, and mode-dependent average dwell time are incorporated to analyze the underlying problem. Sufficient conditions based on two integral inequalities are obtained for these two cases, respectively. Also new and more relaxed Lyapunov monotonicity conditions are introduced. One simulation example is provided to demonstrate the effectiveness of the theoretical results.

中文翻译：

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时变时滞随机中立型切换系统的稳定性分析

SIAM控制与优化杂志，第59卷，第1期，第24-49页，2021年1月。
本文解决了中立型切换随机时滞系统的输入状态随机稳定性问题。考虑了输入控制器中的两个开关信号，包括外部输入干扰：（1）同步开关信号，它表示输入控制器的开关信号与受控子系统的开关信号一致，以及（2）异步开关信号，表示输入控制器和子系统的两个开关瞬间不相同。不管输入控制器和子系统中存在哪个开关信号，都可以使用多个Lyapunov-Krasovskii函数，广义时滞积分不等式以及与模式有关的平均停留时间来分析潜在的问题。分别针对这两种情况获得了基于两个积分不等式的充分条件。还介绍了新的和更宽松的李雅普诺夫单调性条件。提供了一个仿真示例来证明理论结果的有效性。