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Stability analysis of Cohen–Grossberg BAM neural networks with delays and impulses

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  • Bai, Chuanzhi

Abstract

Based on the topological degree theory, Lyapunov functional method and some analysis techniques, the existence and global exponential stability of the equilibrium point of Cohen–Grossberg bidirectional associative memory neural networks with delays and impulses is first investigated. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Bai, Chuanzhi, 2008. "Stability analysis of Cohen–Grossberg BAM neural networks with delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 263-267.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:2:p:263-267
    DOI: 10.1016/j.chaos.2006.05.043
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    1. Li, Yongkun, 2005. "Global exponential stability of BAM neural networks with delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 279-285.
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    Cited by:

    1. Ping, Zhao Wu & Lu, Jun Guo, 2009. "Global exponential stability of impulsive Cohen–Grossberg neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 164-174.
    2. Shih, Chih-Wen & Tseng, Jui-Pin, 2009. "Global consensus for discrete-time competitive systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 302-310.
    3. Wen, Zhen & Sun, Jitao, 2009. "Stability analysis of delayed Cohen–Grossberg BAM neural networks with impulses via nonsmooth analysis," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1829-1837.
    4. Li, Kelin & Zeng, Huanglin, 2010. "Stability in impulsive Cohen–Grossberg-type BAM neural networks with time-varying delays: A general analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(12), pages 2329-2349.
    5. Ravi Agarwal & Snezhana Hristova & Donal O’Regan & Peter Kopanov, 2018. "Stability Analysis of Cohen–Grossberg Neural Networks with Random Impulses," Mathematics, MDPI, vol. 6(9), pages 1-12, August.
    6. 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.
    7. Luo, Wenpin & Zhong, Shouming & Yang, Jun, 2009. "Global exponential stability of impulsive Cohen–Grossberg neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1084-1091.
    8. Gani Stamov & Ivanka Stamova & Stanislav Simeonov & Ivan Torlakov, 2020. "On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-14, March.

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