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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… Click to show full 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.
Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2018
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