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Some criteria for robust stability of Cohen–Grossberg neural networks with delays

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  • Xiong, WeiLi
  • Xu, BaoGuo

Abstract

This paper considers the problem of robust stability of Cohen–Grossberg neural networks with time-varying delays. Based on the Lyapunov stability theory and linear matrix inequality (LMI) technique, some sufficient conditions are derived to ensure the global robust convergence of the equilibrium point. The proposed LMI conditions can be checked easily by recently developed algorithms solving LMIs. Comparisons between our results and previous results admits our results establish a new set of stability criteria for delayed Cohen–Grossberg neural networks. Numerical examples are given to illustrate the effectiveness of our results.

Suggested Citation

  • Xiong, WeiLi & Xu, BaoGuo, 2008. "Some criteria for robust stability of Cohen–Grossberg neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1357-1365.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1357-1365
    DOI: 10.1016/j.chaos.2006.09.065
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    References listed on IDEAS

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    1. Arik, Sabri, 2005. "Global robust stability analysis of neural networks with discrete time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1407-1414.
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    Cited by:

    1. Sun, Meng & Zhuang, Guangming & Xia, Jianwei & Wang, Yanqian & Chen, Guoliang, 2022. "Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Wang, Xin & Zhuang, Guangming & Chen, Guoliang & Ma, Qian & Lu, Junwei, 2022. "Asynchronous mixed H∞ and passive control for fuzzy singular delayed Markovian jump system via hidden Markovian model mechanism," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    3. Souza, Fernando O. & Palhares, Reinaldo M. & Ekel, Petr Ya., 2009. "Novel stability criteria for uncertain delayed Cohen–Grossberg neural networks using discretized Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2387-2393.
    4. Li, Chun-Hsien & Yang, Suh-Yuh, 2009. "Global attractivity in delayed Cohen–Grossberg neural network models," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1975-1987.
    5. Sheng, Li & Yang, Huizhong, 2009. "Robust stability of uncertain Markovian jumping Cohen–Grossberg neural networks with mixed time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2120-2128.

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