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Stability in Switched Cohen‐Grossberg Neural Networks with Mixed Time Delays and Non‐Lipschitz Activation Functions
Author(s) -
Huaiqin Wu,
Guohua Xu,
Chongyang Wu,
Ning Li,
Kewang Wang,
Qiangqiang Guo
Publication year - 2012
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2012/435402
Subject(s) - dwell time , lipschitz continuity , exponential stability , artificial neural network , inverse , mathematics , linear matrix inequality , stability (learning theory) , control theory (sociology) , computer science , pure mathematics , mathematical optimization , artificial intelligence , physics , medicine , machine learning , clinical psychology , geometry , control (management) , nonlinear system , quantum mechanics
The stability for the switched Cohen-Grossberg neural networkswith mixed time delays and α-inverse Hölder activation functions is investigatedunder 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 switchedneural 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

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