Abstract and Applied Analysis
Volume 2013 (2013), Article ID 870486, 8 pages
http://dx.doi.org/10.1155/2013/870486
Research Article

An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays

Chuangxia Huang,1 Hanfeng Kuang,1 Xiaohong Chen,2 and Fenghua Wen2

1College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China
2School of Business, Central South University, Changsha, Hunan 410083, China

Received 3 January 2013; Revised 1 March 2013; Accepted 1 March 2013

Academic Editor: Jinde Cao

Copyright © 2013 Chuangxia Huang 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 paper considers the dynamics of switched cellular neural networks (CNNs) with mixed delays. With the help of the Lyapnnov function combined with the average dwell time method and linear matrix inequalities (LMIs) technique, some novel sufficient conditions on the issue of the uniformly ultimate boundedness, the existence of an attractor, and the globally exponential stability for CNN are given. The provided conditions are expressed in terms of LMI, which can be easily checked by the effective LMI toolbox in Matlab in practice.