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Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays

Author

Listed:
  • Chaouki Aouiti
  • El abed Assali
  • Jinde Cao
  • Ahmed Alsaedi

Abstract

This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays. By employing the differential inequality theory, some sufficient conditions are given to ensure that all solutions of the addressed system converge exponentially to zero vector. An illustrative example is also given at the end of this paper to show the effectiveness of our results.

Suggested Citation

  • Chaouki Aouiti & El abed Assali & Jinde Cao & Ahmed Alsaedi, 2018. "Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(10), pages 2202-2214, July.
  • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2202-2214
    DOI: 10.1080/00207721.2018.1496297
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    Cited by:

    1. Achouri, Houssem & Aouiti, Chaouki & Hamed, Bassem Ben, 2022. "Codimension two bifurcation in a coupled FitzHugh–Nagumo system with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Karthick, S.A. & Sakthivel, R. & Ma, Y.K. & Leelamani, A., 2020. "Observer based guaranteed cost control for Markovian jump stochastic neutral-type neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. Xiaohui Xu & Jibin Yang & Yanhai Xu, 2019. "Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays," Complexity, Hindawi, vol. 2019, pages 1-20, June.
    4. Wang, Zhizhi & Hu, Bing & Zhou, Weiting & Xu, Minbo & Wang, Dingjiang, 2023. "Hopf bifurcation mechanism analysis in an improved cortex-basal ganglia network with distributed delays: An application to Parkinson’s disease," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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