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

Huaiqin Wu, Guohua Xu, Chongyang Wu, Ning Li, Kewang Wang and Qiangqiang Guo

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-21

Abstract:

The stability for the switched Cohen-Grossberg neural networks with mixed time delays and -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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:435402

DOI: 10.1155/2012/435402

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