Switched nonlinear singular systems with time‐delay: Stability analysis. (11th March 2014)

• Record Type: Journal Article
• Authors: Zamani, Iman; Shafiee, Masoud; Ibeas, Asier
• Is Part Of: International journal of robust and nonlinear control. Volume 25:Number 10(2015)
• Page Start: 1497
• Page End: 1513
• Publication Date: 2014-03-11
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3154
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc3154-abs-0001"> <title>Summary</title> <p id="rnc3154-para-0002">This paper presents an approach to the stability analysis of a class of nonlinear interconnected continuous‐time singular systems with arbitrary switching signals. This class of interconnected subsystems consists of unknown but bounded state delay and nonlinear terms, and each subsystem can be globally stable, unstable, or locally stable. By constructing a new Lyapunov‐like Krasovskii functional, sufficient conditions are derived and formulated to check the asymptotic (exponential) stability of such systems with arbitrary switching signals. Then, some new general criteria for asymptotic (exponential) stability with average dwell‐time switching signals are also established. The theoretical developments are demonstrated by two numerical simulations. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>