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| GLOBAL EXPONENTIAL STABILITY IN HOPFIELD AND BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH TIME DELAYS |
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Citation： |
RONG Libin,LU Wenlian,CHEN Tianping.GLOBAL EXPONENTIAL STABILITY IN HOPFIELD AND BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH TIME DELAYS[J].Chinese Annals of Mathematics B,2004,25(2):255~262 |
| Page view： 1197
Net amount： 778 |
Authors： |
RONG Libin; LU Wenlian;CHEN Tianping |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.69982003, No.60074005). |
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| Abstract： |
Without assuming the boundedness, strict monotonicity and differentiability of the
activation functions, the authors utilize the Lyapunov functional method to analyze
the global convergence of some delayed models. For the Hopfield neural network with
time delays, a new sufficient condition ensuring the existence, uniqueness and global
exponential stability of the equilibrium point is derived. This criterion concerning the
signs of entries in the connection matrix imposes constraints on the feedback matrix
independently of the delay parameters. From a new viewpoint, the bidirectional associative
memory neural network with time delays is investigated and a new global
exponential stability result is given. |
Keywords： |
Hopfield neural network, Bidirectional associative memory (BAM),
Global exponential stability, Time delays, Lyapunov functional |
Classification： |
34K20, 34K60, 94C05 |
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