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Abstract and Applied Analysis
Volume 2014, Article ID 263847, 9 pages
http://dx.doi.org/10.1155/2014/263847
Research Article

Global -Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays

1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China
2School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, China
3Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 4 January 2014; Revised 23 February 2014; Accepted 25 February 2014; Published 3 April 2014

Academic Editor: Derui Ding

Copyright © 2014 Xiaofeng Chen 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

The complex-valued neural networks with unbounded time-varying delays are considered. By constructing appropriate Lyapunov-Krasovskii functionals, and employing the free weighting matrix method, several delay-dependent criteria for checking the global -stability of the addressed complex-valued neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria.