Dwell-time computation for stability of switched systems with time delays

• Published in: IET control theory & applications Vol. 7; no. 10; pp. 1422 - 1428
• Main Authors: Çalışkan, Sina Yamaç, Özbay, Hitay, Niculescu, Silviu-Iulian
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.07.2013; John Wiley & Sons, Inc; Institution of Engineering and Technology
• Subjects: Asymptotic properties; asymptotic stability; Automatic; Automatic Control Engineering; candidate system; Computation; Computer Science; Control theory; Delay; delays; Dwell time; dwell‐time bounds; dwell‐time computation; Engineering Sciences; Functionals; heterogeneous constant time‐delays; Lyapunov methods; piecewise linear techniques; piecewise Lyapunov‐Krasovkii functionals; Stability; sufficient condition; switched system stability; switched time‐delayed system; Time delay; time‐varying systems; time-varying systems; dwell-time computation; piecewise linear techniques; candidate system; asymptotic stability; switched system stability; piecewise Lyapunov-Krasovkii functionals; switched time-delayed system; delays; dwell-time bounds; sufficient condition; heterogeneous constant time-delays; Lyapunov methods
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2011.0749

The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov–Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds.