Almost Sure Stability and Stabilization of Composite Switched Systems With Persistent Dwell Time Constraint
研究了连续时间复合切换系统在持续驻留时间和马尔可夫过程双重切换机制下的指数几乎必然稳定性与镇定问题，给出了更一般的充分条件，并通过三个例子验证了结果。
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.