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Dynamical Analysis for High‐Order Delayed Hopfield Neural Networks with Impulses

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  • Dengwang Li

Abstract

The global exponential stability and uniform stability of the equilibrium point for high‐order delayed Hopfield neural networks with impulses are studied. By utilizing Lyapunov functional method, the quality of negative definite matrix, and the linear matrix inequality approach, some new stability criteria for such system are derived. The results are related to the size of delays and impulses. Two examples are also given to illustrate the effectiveness of our results.

Suggested Citation

  • Dengwang Li, 2012. "Dynamical Analysis for High‐Order Delayed Hopfield Neural Networks with Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:825643
    DOI: 10.1155/2012/825643
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    References listed on IDEAS

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    1. Xia, Yonghui & Huang, Zhenkun & Han, Maoan, 2008. "Existence and globally exponential stability of equilibrium for BAM neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 588-597.
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