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Stability Analysis for Uncertain Neural Networks of Neutral Type with Time‐Varying Delay in the Leakage Term and Distributed Delay

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  • Qi Zhou
  • Xueying Shao
  • Jin Zhu
  • Hamid Reza Karimi

Abstract

The stability problem is investigated for a class of uncertain networks of neutral type with leakage, time‐varying discrete, and distributed delays. Both the parameter uncertainty and the generalized activation functions are considered in this paper. New stability results are achieved by constructing an appropriate Lyapunov‐Krasovskii functional and employing the free weighting matrices and the linear matrix inequality (LMI) method. Some numerical examples are given to show the effectiveness and less conservatism of the proposed results.

Suggested Citation

  • Qi Zhou & Xueying Shao & Jin Zhu & Hamid Reza Karimi, 2013. "Stability Analysis for Uncertain Neural Networks of Neutral Type with Time‐Varying Delay in the Leakage Term and Distributed Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:517604
    DOI: 10.1155/2013/517604
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    References listed on IDEAS

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    1. Wang, Zidong & Shu, Huisheng & Liu, Yurong & Ho, Daniel W.C. & Liu, Xiaohui, 2006. "Robust stability analysis of generalized neural networks with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 886-896.
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