Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 573534, 18 pages
doi:10.1155/2009/573534
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
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
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.