IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v132y2020ics0960077919305326.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919305326
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109575?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abdelaziz, Meryem & Chérif, Farouk, 2024. "Finite-Time Synchronization and Exponential lag synchronization of quaternion-valued inertial fuzzy Cohen–Grossberg neural networks with impulsives and mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. 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).
    3. 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).
    4. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jian, Jigui & Wang, Baoxian, 2015. "Global Lagrange stability for neutral-type Cohen–Grossberg BAM neural networks with mixed time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 116(C), pages 1-25.
    2. Weide Liu & Jianliang Huang & Qinghe Yao, 2021. "Stability Analysis of Pseudo-Almost Periodic Solution for a Class of Cellular Neural Network with D Operator and Time-Varying Delays," Mathematics, MDPI, vol. 9(16), pages 1-24, August.
    3. Manel Amdouni & Jehad Alzabut & Mohammad Esmael Samei & Weerawat Sudsutad & Chatthai Thaiprayoon, 2022. "A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation," Mathematics, MDPI, vol. 10(19), pages 1-18, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305326. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.