Exponential stabilization and L2‐gain for uncertain switched nonlinear systems with interval time‐varying delay. (11th January 2016)

• Record Type: Journal Article
• Authors: Dong, Yali; Li, Tianrui; Mei, Shengwei
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 13(2016:Sep. 15)
• Page Start: 3836
• Page End: 3854
• Publication Date: 2016-01-11
• Subjects: uncertain switched nonlinear system -- exponential stabilization -- L2‐gain -- time‐varying delay -- average dwell time; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3828
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This paper is concerned with the exponential stabilization and L 2 ‐gain for a class of uncertain switched nonlinear systems with interval time‐varying delay. Based on Lyapunov–Krasovskii functional method, novel delay‐dependent sufficient conditions of exponential stabilization for a class of uncertain switched nonlinear delay systems are developed under an average dwell time scheme. Then, novel criteria to ensure the exponential stabilization with weighted L 2 ‐gain performance for a class of uncertain switched nonlinear delay systems are established. Furthermore, an effective method is proposed for the designing of a stabilizing feedback controller with L 2 ‐gain performance. Finally, some numerical examples are given to illustrate the effectiveness of the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.