DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays. Issue 12 (9th September 2016)

• Record Type: Journal Article
• Authors: Xue, Wenping; Li, Kangji; Liu, Guohai
• Is Part Of: International journal of systems science. Volume 47:Issue 12(2016)
• Page Start: 3027
• Page End: 3035
• Publication Date: 2016-09-09
• Subjects: finite-time stability -- switched systems -- time-delay -- nonlinear perturbation -- delay differential inequality; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2015.1066899
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper investigates the finite-time stability (FTS) analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities (DDIs), rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory.