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

Yongkun Li, Lili Zhao, Ping Liu · Discrete Dynamics in Nature and Society · 2009

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.

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