Stability analysis of complex-valued impulsive systems with time delay

Xu Zeng, Chuandong Li, Tingwen Huang and Xing He

Applied Mathematics and Computation, 2015, vol. 256, issue C, 75-82

Abstract: In this paper, the global exponential stability of complex-valued impulsive systems is addressed. Some new sufficient conditions are obtained to guarantee the global exponential stability by the Lyapunov–Razumikhin theory, which extend and improve most of recent results. Moreover, the obtained Razumikhin conditions are very simple and efficient to verify in real problems and helpful to investigate the stability of delayed neural networks and synchronization problems of chaotic systems under impulsive perturbation. Finally, a numerical example is given to show the effectiveness of the obtained results.

Keywords: Complex-valued impulsive systems; Time delay; Stability; Razumikhin technique; Lyapunov technique (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:75-82

DOI: 10.1016/j.amc.2015.01.006

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