Stability of switched nonlinear time-delay systems with stable and unstable subsystems. (May 2017)

• Record Type: Journal Article
• Authors: Tian, Yazhou; Cai, Yuanli; Sun, Yuangong
• Is Part Of: Nonlinear analysis. Volume 24(2017)
• Page Start: 58
• Page End: 68
• Publication Date: 2017-05
• Subjects: Stability -- Switched delay system -- Average dwell time -- Delay Gronwall–Bellman inequality; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.11.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the stability of switched nonlinear time-delay systems with stable and unstable subsystems. Several stability criteria are presented by resorting to novel inequality technique and average dwell time approach, which relax the assumptions that all subsystem matrices are commutative pairwise and Hurwitz stable. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical results.