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Uniform Stability Analysis of Fractional-Order BAM Neural Networks with Delays in the Leakage Terms

Author

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  • Xujun Yang
  • Qiankun Song
  • Yurong Liu
  • Zhenjiang Zhao

Abstract

A class of fractional-order BAM neural networks with delays in the leakage terms is considered. By using inequality technique and analysis method, several delay-dependent sufficient conditions are established to ensure the uniform stability of such networks. Moreover, the sufficient conditions guaranteeing the existence, uniqueness, and stability of the equilibrium point are also obtained. In addition, three simulation examples are given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Xujun Yang & Qiankun Song & Yurong Liu & Zhenjiang Zhao, 2014. "Uniform Stability Analysis of Fractional-Order BAM Neural Networks with Delays in the Leakage Terms," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, June.
    • Handle: RePEc:hin:jnlaaa:261930
    DOI: 10.1155/2014/261930
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    Cited by:

    1. Huang, Chengdai & Meng, Yijie & Cao, Jinde & Alsaedi, Ahmed & Alsaadi, Fuad E., 2017. "New bifurcation results for fractional BAM neural network with leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 31-44.
    2. Zhanying Yang & Jie Zhang, 2019. "Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays," Complexity, Hindawi, vol. 2019, pages 1-22, October.

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