Almost Sure Stability and Stabilization of Composite Switched Systems With Persistent Dwell Time Constraint

• Published in: IEEE transactions on cybernetics Vol. 54; no. 11; pp. 7058 - 7067
• Main Authors: Gao, Wenshuai, Song, Yang
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.11.2024
• Subjects: Almost sure (AS) stability; composite switched systems (CSSs); Markov processes; persistent dwell time (PDT); Power system stability; Spread spectrum communication; Stability criteria; stabilization; Switched systems; Switches; Transient analysis
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2024.3446620

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.