This paper is concerned with the stability problem of randomly switched systems. By using the probability analysis method, the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching, and renewal process switching signals, respectively. Two examples are presented to demonstrate the effectiveness of the proposed results, in which an example of consensus of multiagent systems with nonlinear dynamics is taken into account.

中文翻译：

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具有随机切换信号的连续时间切换系统的稳定性分析


本文研究的是随机切换系统的稳定性问题。利用概率分析方法，分别研究了具有半马尔可夫切换、马尔可夫切换和更新过程切换信号的切换系统的几乎肯定全局渐近稳定性和几乎肯定指数稳定性。提出了两个例子来证明所提出的结果的有效性，其中考虑了具有非线性动力学的多智能体系统的共识的例子。