Finite‐time stability and boundedness of switched nonlinear time‐delay systems under state‐dependent switching. Issue 2 (16th September 2014)

• Record Type: Journal Article
• Authors: Dong, Yali; Yang, Fengwei
• Is Part Of: Complexity. Volume 21:Issue 2(2015)
• Page Start: 267
• Page End: 275
• Publication Date: 2014-09-16
• Subjects: finite‐time stability -- finite‐time stabilization -- finite‐time boundedness -- state‐dependent switching -- sliding motion -- linear matrix inequality; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21603
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This article investigates the finite‐time stability, stabilization, and boundedness problems for switched nonlinear systems with time‐delay. Unlike the existing average dwell‐time technique based on time‐dependent switching strategy, largest region function strategy, that is, state‐dependent switching control strategy is adopted to design the switching signal, which does not require the switching instants to be given in advance. Some sufficient conditions which guarantee finite‐time stable, stabilization, and boundedness of switched nonlinear systems with time‐delay are presented in terms of linear matrix inequalities. Detail proofs are given using multiple Lyapunov‐like functions. A numerical example is given to illustrate the effectiveness of the proposed methods. © 2014 Wiley Periodicals, Inc. Complexity 21: 267–275, 2015