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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:261930
    DOI: 10.1155/2014/261930
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    References listed on IDEAS

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    1. Zongyi Hou & Hongying Zhu & Chunhua Feng, 2013. "Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, December.
    2. Zongyi Hou & Hongying Zhu & Chunhua Feng, 2013. "Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Park, Ju H., 2006. "A novel criterion for global asymptotic stability of BAM neural networks with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 446-453.
    4. Zhou, Shangbo & Li, Hua & Zhu, Zhengzhou, 2008. "Chaos control and synchronization in a fractional neuron network system," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 973-984.
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