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Global exponential stability of delay difference equations with delayed impulses

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  • Zhang, Yu

Abstract

This paper investigates the global exponential stability of delay difference equations with delayed impulses. By virtue of Lyapunov functions together with Razumikhin technique, a number of global exponential stability criteria are provided. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabilizer are obtained. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the Razumikhin type exponential stability results for delay difference equations with delayed impulses are given.

Suggested Citation

  • Zhang, Yu, 2017. "Global exponential stability of delay difference equations with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 183-194.
    • Handle: RePEc:eee:matcom:v:132:y:2017:i:c:p:183-194
    DOI: 10.1016/j.matcom.2016.08.003
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    References listed on IDEAS

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    1. Zhang, Yinping, 2009. "Stationary oscillation for cellular neural networks with time delays and impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3174-3178.
    2. Liu, Feng & Guan, Zhi-Hong & Wang, Hua O. & Li, Yuqing, 2009. "Impulsive control of bifurcations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2180-2191.
    3. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2008. "Impulsive control for T–S fuzzy model-based chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 409-415.
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    Cited by:

    1. Zhao, Yongshun & Li, Xiaodi & Cao, Jinde, 2020. "Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Ting Cai & Pei Cheng, 2021. "Stability Analysis of Discrete-Time Stochastic Delay Systems with Impulses," Mathematics, MDPI, vol. 9(4), pages 1-15, February.

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