This article is devoted to the exponential almost sure (EAS) stability and stabilization of continuous-time composite switched systems (CSSs) by employing a novel dual-switching mechanism, which incorporates both persistent dwell time (PDT) switching and a set of Markov processes. The interrelation between the parameters under the PDT constraint is established by ensuring that switching frequency remains within the maximum permissible range, which serves as a pivotal consideration in the stability analysis of CSSs subject to above-mentioned dual-switching mechanism. Furthermore, the sufficient conditions for achieving EAS-stability and stabilization of CSSs are established with the designed switching strategy. Our results, in contrast to previous works that are special cases of our study, are more general and less conservative. Three examples are presented to validate the developed theoretical results.

中文翻译：

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几乎确定具有持续驻留时间约束的复合开关系统的稳定性和稳定性


本文致力于通过采用一种新颖的双切换机制来研究连续时间复合开关系统 （CSS） 的指数几乎确定 （EAS） 稳定性和稳定性，该机制结合了持续驻留时间 （PDT） 切换和一组马尔可夫过程。通过确保开关频率保持在最大允许范围内来建立 PDT 约束下参数之间的相互关系，这是受上述双开关机制约束的 CSS 稳定性分析的关键考虑因素。此外，通过设计的切换策略建立了实现 CSS 的 EAS 稳定性和稳定性的充分条件。与之前作为我们研究特例的工作相比，我们的结果更加普遍且不那么保守。提出了三个示例来验证所开发的理论结果。