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

Yongkun Li, Lili Zhao and Ping Liu

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-18

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:573534

DOI: 10.1155/2009/573534

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