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Robust Stability Analysis of Fuzzy Neural Network with Delays

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  • Kaihong Zhao
  • Yongkun Li

Abstract

We investigate local robust stability of fuzzy neural networks (FNNs) with time-varying and S-type distributed delays. We derive some sufficient conditions for local robust stability of equilibrium points and estimate attracting domains of equilibrium points except unstable equilibrium points. Our results not only show local robust stability of equilibrium points but also allow much broader application for fuzzy neural network with or without delays. An example is given to illustrate the effectiveness of our results.

Suggested Citation

  • Kaihong Zhao & Yongkun Li, 2009. "Robust Stability Analysis of Fuzzy Neural Network with Delays," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-13, February.
  • Handle: RePEc:hin:jnlmpe:826908
    DOI: 10.1155/2009/826908
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    Cited by:

    1. Ilya Boykov & Vladimir Roudnev & Alla Boykova, 2022. "Stability of Solutions to Systems of Nonlinear Differential Equations with Discontinuous Right-Hand Sides: Applications to Hopfield Artificial Neural Networks," Mathematics, MDPI, vol. 10(9), pages 1-16, May.

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