Stability of perturbed switched nonlinear systems with delays. (August 2017)

• Record Type: Journal Article
• Authors: Liu, Xingwen; Yu, Yongbin; Chen, Hao
• Is Part Of: Nonlinear analysis. Volume 25(2017)
• Page Start: 114
• Page End: 125
• Publication Date: 2017-08
• Subjects: Delays -- Exponential stability -- Nonlinear systems -- Perturbations -- Switched systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.03.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper addresses the stability problems of perturbed switched nonlinear systems with time-varying delays. It is assumed that the nominal switched nonlinear system (perturbation-free system) is uniformly exponentially stable and that the perturbations satisfy a linear growth bound condition. It is revealed that there exists an upper bound of perturbation guaranteeing that the perturbed system preserves the stability property of the nominal system, locally or globally, depending on both perturbations and the nominal system itself. An example is provided to illustrate the proposed theoretical results.