Abstract and Applied Analysis
Volume 2013 (2013), Article ID 325310, 10 pages
http://dx.doi.org/10.1155/2013/325310
Research Article

Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays

Qi Luo,1 Xinjie Miao,1 Qian Wei,1 and Zhengxin Zhou2

1School of Information & Control, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, China
2School of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu 225009, China

Received 26 December 2012; Accepted 21 March 2013

Academic Editor: Xuerong Mao

Copyright © 2013 Qi Luo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays.