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Absolute exponential stability analysis of delayed bi-directional associative memory neural networks

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  • Lou, Xuyang
  • Cui, Baotong

Abstract

The problem of absolute exponential stability for delayed bi-directional associative memory neural networks with time delay is investigated via Lyapunov stability theory. A new sufficient condition ensuring existence and uniqueness of equilibrium and its absolute exponential stability is derived. An illustrative example is given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Lou, Xuyang & Cui, Baotong, 2007. "Absolute exponential stability analysis of delayed bi-directional associative memory neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 695-701.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:3:p:695-701
    DOI: 10.1016/j.chaos.2005.10.027
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    References listed on IDEAS

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    1. Cui, Bao Tong & Lou, Xu Yang, 2006. "Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1347-1354.
    2. Lou, Xu Yang & Cui, Bao Tong, 2006. "Global asymptotic stability of delay BAM neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 1023-1031.
    3. Huang, Xia & Cao, Jinde & Huang, De-Shuang, 2005. "LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 885-898.
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    Cited by:

    1. Lou, Xuyang & Cui, Baotong, 2009. "Stochastic stability analysis for delayed neural networks of neutral type with Markovian jump parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2188-2197.
    2. Sheng, Li & Yang, Huizhong & Lou, Xuyang, 2009. "Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 930-939.
    3. Gao, Ming & Cui, Baotong, 2009. "Global robust stability of neural networks with multiple discrete delays and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1823-1834.
    4. Gao, Ming & Cui, Baotong, 2009. "Robust exponential stability of interval Cohen–Grossberg neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1914-1928.

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