Periodic Solutions and Exponential Stability of a Class of Neural Networks with Time-Varying Delays
Author(s) -
Yingxin Guo,
Mingzhi Xue
Publication year - 2009
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 - 10.1155/2009/415786
Subject(s) - class (philosophy) , exponential stability , artificial neural network , stability (learning theory) , computer science , control theory (sociology) , exponential function , mathematics , point (geometry) , fixed point theorem , discrete mathematics , artificial intelligence , mathematical analysis , nonlinear system , machine learning , control (management) , physics , geometry , quantum mechanics
Employing fixed point theorem, we make a further investigation of a class ofneural networks with delays in this paper. A family of sufficient conditions is given forchecking global exponential stability. These results have important leading significance inthe design and applications of globally stable neural networks with delays. Our resultsextend and improve some earlier publications
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