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Global exponential stability of impulsive cellular neural networks with time-varying and distributed delay

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  • Li, Kelin
  • Zhang, Xinhua
  • Li, Zuoan

Abstract

In this paper, a model of impulsive cellular neural networks with time-varying and distributed delays is investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing the M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive cellular neural networks with time-varying and distributed delays are obtained. An example is given to show the effectiveness of the results obtained here.

Suggested Citation

  • Li, Kelin & Zhang, Xinhua & Li, Zuoan, 2009. "Global exponential stability of impulsive cellular neural networks with time-varying and distributed delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1427-1434.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1427-1434
    DOI: 10.1016/j.chaos.2008.06.003
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    References listed on IDEAS

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    1. Park, Ju H. & Cho, Hyun J., 2007. "A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 436-442.
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    Cited by:

    1. Wang, Mei-Qi & Ma, Wen-Li & Li, Yuan & Chen, En-Li & Liu, Peng-Fei & Zhang, Ming-Zhi, 2022. "Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Rakkiyappan, R. & Balasubramaniam, P., 2009. "LMI conditions for stability of stochastic recurrent neural networks with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1688-1696.
    4. Qian-hong Zhang & Li-hui Yang, 2012. "Dynamical analysis of fuzzy BAM neural networks with variable delays," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 93-104, March.
    5. Zhang, Zhengqiu & Yang, Zhen, 2023. "Asymptotic stability for quaternion-valued fuzzy BAM neural networks via integral inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Li, Zuoan & Li, Kelin, 2009. "Stability analysis of impulsive fuzzy cellular neural networks with distributed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 492-499.

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