Table of Contents
Advances in Artificial Neural Systems
Volume 2011, Article ID 941426, 7 pages
Research Article

On the Global Dissipativity of a Class of Cellular Neural Networks with Multipantograph Delays

Science of Mathematics College, Tianjin Normal University, Tianjin 300387, China

Received 9 May 2011; Revised 23 September 2011; Accepted 8 October 2011

Academic Editor: Tingwen Huang

Copyright © 2011 Liqun Zhou. 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.


For the first time the global dissipativity of a class of cellular neural networks with multipantograph delays is studied. On the one hand, some delay-dependent sufficient conditions are obtained by directly constructing suitable Lyapunov functionals; on the other hand, firstly the transformation transforms the cellular neural networks with multipantograph delays into the cellular neural networks with constant delays and variable coefficients, and then constructing Lyapunov functionals, some delay-independent sufficient conditions are given. These new sufficient conditions can ensure global dissipativity together with their sets of attraction and can be applied to design global dissipative cellular neural networks with multipantograph delays and easily checked in practice by simple algebraic methods. An example is given to illustrate the correctness of the results.