Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays

作者：Xu, Liguang^*; Ge, Shuzhi Sam

来源：Nonlinear Analysis: Hybrid Systems , 2018, 27: 13-28.

DOI：10.1016/j.nahs.2017.07.002

• Delay
• Impulsive
• Complex-valued
• Exponentially attractive set
• Weak-invariant set

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.

• 出版日期2018-2
• 单位浙江工业大学