Stability analysis of hybrid time-delay systems using homogeneity property. (October 2022)

• Record Type: Journal Article
• Authors: He, Yan; Zhao, Xudong; Zhu, Guopu; Gong, Cheng
• Is Part Of: ISA transactions. Volume 129(2022)Part A
• Page Start: 128
• Page End: 137
• Publication Date: 2022-10
• Subjects: Hybrid systems -- Stability analysis -- Homogeneity -- Time-delay -- Lyapunov–Krasovskii functional; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2022.01.001
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: In this paper, stability analysis is studied for hybrid time-delay systems (HTDSs) with homogeneity. Using Lyapunov–Krasovskii functional method, a novel and relaxed condition is derived to analyze pre-asymptotic stability of the considered systems with homogeneity. Then, the connections of solutions are established between the systems with different sizes. Based on the established connections, some homogeneous properties are introduced to analyze stability of the HTDSs with different sizes or degrees, and then some necessary and sufficient stability conditions are obtained. Finally, numerical examples are provided to show the effectiveness of the results obtained in this paper. Highlights: A homogeneous hybrid time-delay system model is established. Connections of solutions are established between systems with different sizes and degrees. A sufficient condition is presented to analyze stability of the considered system. Some stability characteristics are achieved for the systems with different sizes and degrees.