Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 67675, 9 pages
doi:10.1155/2007/67675
On global exponential stability of discrete-time Hopfield neural networks with variable delays
Qiang Zhang1
, Xiaopeng Wei1
and Jin Xu3
1Liaoning Key Lab of Intelligent Information Processing, Dalian University, Dalian 116622, China
3Department of Computer Science, Peking University, Beijing 100871, China
Abstract
Global exponential stability of a class of discrete-time Hopfield neural networks with variable delays is considered. By making use of a difference inequality, a new global exponential stability result is provided. The result only requires the delay to be bounded. For this reason, the result is milder than those presented in the earlier references. Furthermore, two examples are given to show the efficiency of our result.