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Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales

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  • Yongkun Li
  • Lili Zhao
  • Ping Liu

Abstract

On time scales, by using the continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability are investigated for a class of delayed high-order Hopfield neural networks (HHNNs), which are new and complement of previously known results. Finally, an example is given to show the effectiveness of the proposed method and results.

Suggested Citation

  • Yongkun Li & Lili Zhao & Ping Liu, 2009. "Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-18, September.
    • Handle: RePEc:hin:jnddns:573534
    DOI: 10.1155/2009/573534
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