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Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions

Authors :
Ning Li
Qiangqiang Guo
Guohua Xu
Huaiqin Wu
Kewang Wang
Chongyang Wu
Source :
Discrete Dynamics in Nature and Society, Vol 2012 (2012)
Publication Year :
2012
Publisher :
Hindawi Limited, 2012.

Abstract

The stability for the switched Cohen-Grossberg neural networks with mixed time delays andĪ±-inverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay-dependent sufficient criterion is achieved to ensure such switched neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. Two illustrative examples are given to demonstrate the validity of the theoretical results.

Details

ISSN :
1607887X and 10260226
Volume :
2012
Database :
OpenAIRE
Journal :
Discrete Dynamics in Nature and Society
Accession number :
edsair.doi.dedup.....107e935429ef6da22b2d00c2ee2e64b2