Mathematical Problems in Engineering
Volume 2014, Article ID 412169, 8 pages
http://dx.doi.org/10.1155/2014/412169
Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
1School of Computer Science & Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China
2College of Post and Telecommunication of WIT, Wuhan 430070, China
Received 7 May 2014; Accepted 16 August 2014; Published 3 September 2014
Academic Editor: Zhichun Yang
Copyright © 2014 Shun-Yan Ren and Yue-Hui Zhao. 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 proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.