A New Approach For Stability Analysis Of Time‐Dependent Switched Continuous‐Time Linear Systems. Issue 2 (10th April 2013)

• Record Type: Journal Article
• Authors: Xiang, Weiming; Xiao, Jian; Han, Lu
• Is Part Of: Asian journal of control. Volume 16:Issue 2(2014:Mar.)
• Page Start: 461
• Page End: 468
• Publication Date: 2013-04-10
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.707
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>In this paper, a new approach for stability analysis of time‐dependent switched linear systems is proposed. System equivalence is the main idea in this new approach, which derives a switched discrete linear parameter‐varying system from the switched continuous‐time linear switched system with interval dwell time, and the stability properties of the two corresponding systems are proved to be equivalent. Then, by applying a quadratic Lyapunov function approach for the equivalent switched discrete system, the stability of the switched continuous‐time linear system can be established without checking any average dwell time condition. Finally the computation complexity is analyzed, and mode incidence matrix is introduced to reduce the computation cost.</p> </abstract>