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Exponential stability of reaction–diffusion generalized Cohen–Grossberg neural networks with time-varying delays

Author

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  • Zhou, Qinghua
  • Wan, Li
  • Sun, Jianhua

Abstract

The stability property of reaction–diffusion generalized Cohen–Grossberg neural networks (GDCGNNs) with time-varying delay are considered. Without assuming the monotonicity and differentiability of activation functions, nor symmetry of synaptic interconnection weights, delay independent and easily verifiable sufficient conditions to guarantee the exponential stability of an equilibrium solution associated with temporally uniform external inputs to the networks are obtained, by employing the method of variational parameter and inequality technique. One example is given to illustrate the theoretical results.

Suggested Citation

  • Zhou, Qinghua & Wan, Li & Sun, Jianhua, 2007. "Exponential stability of reaction–diffusion generalized Cohen–Grossberg neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1713-1719.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1713-1719
    DOI: 10.1016/j.chaos.2005.12.003
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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. Chen, Zhang, 2009. "Dynamic analysis of reaction–diffusion Cohen–Grossberg neural networks with varying delay and Robin boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1724-1730.
    3. Wang, Linshan & Zhang, Yan & Zhang, Zhe & Wang, Yangfan, 2009. "LMI-based approach for global exponential robust stability for reaction–diffusion uncertain neural networks with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 900-905.
    4. Lan, Heng-you & Cui, Yi-Shun, 2009. "A neural network method for solving a system of linear variational inequalities," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1245-1252.
    5. Li, Zuoan & Li, Kelin, 2009. "Stability analysis of impulsive fuzzy cellular neural networks with distributed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 492-499.

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