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Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen–Grossberg neural networks

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  • Abdelaziz, Meryem
  • Chérif, Farouk

Abstract

In this paper, we propose a new class of impulsive fuzzy Cohen–Grossberg neural networks (FCGNNs) with delays. It is well known that time delays and external impulsive can derail the stability of a given dynamical system and a fortiori in neural networks. Hence, in this paper, by designing a novel and adequate Lyapunov functional and using an appropriate fixed point theorem we derive several new sufficient conditions for the existence, uniqueness and global exponential stability of the considered model. Moreover, two numerical examples are given in order to illustrate the effectiveness of our theoretical results.

Suggested Citation

  • Abdelaziz, Meryem & Chérif, Farouk, 2020. "Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen–Grossberg neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305326
    DOI: 10.1016/j.chaos.2019.109575
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    References listed on IDEAS

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    1. Amdouni, Manel & Chérif, Farouk, 2018. "The pseudo almost periodic solutions of the new class of Lotka–Volterra recurrent neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 79-88.
    2. Wang, Jiafu & Huang, Lihong, 2012. "Almost periodicity for a class of delayed Cohen–Grossberg neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1157-1170.
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    Cited by:

    1. Li, Yongkun & Wang, Xiaohui, 2021. "Almost periodic solutions in distribution of Clifford-valued stochastic recurrent neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. Wang, Fen & Chen, Yuanlong, 2021. "Mean square exponential stability for stochastic memristor-based neural networks with leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Stamov, Gani & Stamova, Ivanka & Martynyuk, Anatoliy & Stamov, Trayan, 2021. "Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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