Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays. (February 2018)

• Record Type: Journal Article
• Authors: Xu, Liguang; Ge, Shuzhi Sam
• Is Part Of: Nonlinear analysis. Volume 27(2018)
• Page Start: 13
• Page End: 28
• Publication Date: 2018-02
• Subjects: Delay -- Impulsive -- Complex-valued -- Exponentially attractive set -- Weak-invariant set; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.07.002
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, asymptotic behavior analysis is addressed for a class of nonlinear complex-valued impulsive differential systems with time-varying delays. By establishing two inhomogeneous impulsive delay differential inequalities and applying the theory of matrix measure, the global exponentially attractive set, invariant set and weak-invariant set of the complex-valued impulsive delay differential systems are derived. Examples are provided to illustrate the effectiveness of the proposed results.