Improved Stability Analysis for Neural Networks with Time-Varying DelayReport as inadecuate

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Mathematical Problems in EngineeringVolume 2012 2012, Article ID 950269, 19 pages

Research ArticleState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, China

Received 20 February 2012; Accepted 30 March 2012

Academic Editor: Cristian Toma

Copyright © 2012 Yongming Li 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.


This paper concerned the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay interval approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Author: Yongming Li, Junkang Tian, Jinzhou Zhao, Liehui Zhang, and Tiejun Li



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