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Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays

Author

Listed:
  • Ruofeng Rao
  • Gaozhi Tang
  • Jiuqi Gong
  • Xiaoyan Wan
  • Guanghong Wu
  • Qiao Zhang
  • Shouming Zhong

Abstract

In this paper, a class of nonlinear p -Laplace diffusion BAM Cohen-Grossberg neural networks (BAM CGNNs) with time delays is investigated. In the case of with , the authors construct novel Lyapunov functional to overcome the mathematical difficulties of nonlinear p -Laplace diffusion time-delay model with parameter uncertainties, deriving the LMI-based robust stability criterion applicable to computer MATLAB LMI toolbox and deleting the boundedness of the amplification functions. And in the case of , LMI-based sufficient conditions are also inferred for robust input-to-state stability of reaction-diffusion Markovian jumping BAM CGNNs with the event-triggered control, which is different from those of many previous related literature. In particular, the role of diffusion can be reflected in newly acquired criteria. Finally, numerical examples verify the effectiveness of the proposed methods.

Suggested Citation

  • Ruofeng Rao & Gaozhi Tang & Jiuqi Gong & Xiaoyan Wan & Guanghong Wu & Qiao Zhang & Shouming Zhong, 2018. "Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays," Complexity, Hindawi, vol. 2018, pages 1-19, July.
    • Handle: RePEc:hin:complx:6263931
    DOI: 10.1155/2018/6263931
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    Cited by:

    1. Xiaohui Xu & Huanbin Xue & Yiqiang Peng & Quan Xu & Jibin Yang, 2018. "Robust Exponential Stability of Switched Complex-Valued Neural Networks with Interval Parameter Uncertainties and Impulses," Complexity, Hindawi, vol. 2018, pages 1-12, December.
    2. Zhang, Zhengqiu & Yang, Zhen, 2023. "Asymptotic stability for quaternion-valued fuzzy BAM neural networks via integral inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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