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Periodic Oscillation of Fuzzy Cohen‐Grossberg Neural Networks with Distributed Delay and Variable Coefficients
Author(s) -
Hongjun Xiang,
Jinde Cao
Publication year - 2008
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2008/453627
Subject(s) - uniqueness , coincidence , mathematics , artificial neural network , fuzzy logic , variable (mathematics) , exponential stability , class (philosophy) , oscillation (cell signaling) , control theory (sociology) , stability (learning theory) , computer science , mathematical analysis , nonlinear system , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , biology , genetics , medicine , alternative medicine , pathology
A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. The method is very concise and practical. Moreover, two examples are posed to illustrate the effectiveness of our results

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