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Analysis of stability for impulsive fuzzy Cohen–Grossberg BAM neural networks with delays
Author(s) -
Zhang Qianhong,
Shao Yuanfu,
Liu Jingzhong
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2624
Subject(s) - mathematics , exponential stability , artificial neural network , fuzzy logic , bidirectional associative memory , stability (learning theory) , associative property , control theory (sociology) , content addressable memory , pure mathematics , computer science , artificial intelligence , nonlinear system , machine learning , physics , control (management) , quantum mechanics
In this paper, based on the topological degree theory, Lyapunov functional method and inequality analysis technique, the existence and global exponential stability of equilibrium of impulsive fuzzy Cohen–Grossberg bi‐directional associative memory neural networks with delays, are investigated. Moreover, an illustrative example is given to demonstrate the effectiveness of the results obtained. Copyright © 2012 John Wiley & Sons, Ltd.