TY - JOUR
T1 - Novel stability criteria for bidirectional associative memory neural networks with time delays
AU - Liao, Xiaofeng
AU - Yu, Juebang
AU - Chen, Guanrong
PY - 2002/9
Y1 - 2002/9
N2 - In this paper, the bidirectional associative memory (BAM) neural network with axonal signal transmission delay is considered. This model is also referred to as a delayed dynamic BAM model. By combining a number of different Lyapunov functionals with the Razumikhin technique, some sufficient conditions for the existence of a unique equilibrium and global asymptotic stability of the network are derived. These results are fairly general and can be easily verified. Besides, the approach for the analysis allows one to consider several different types of activation functions, including piecewise linear sigmoids with bounded activations as well as C1-smooth sigmoids. It is believed that these results are significant and convenient in the design and applications of BAM neural networks. Copyright © 2002 John Wiley & Sons, Ltd.
AB - In this paper, the bidirectional associative memory (BAM) neural network with axonal signal transmission delay is considered. This model is also referred to as a delayed dynamic BAM model. By combining a number of different Lyapunov functionals with the Razumikhin technique, some sufficient conditions for the existence of a unique equilibrium and global asymptotic stability of the network are derived. These results are fairly general and can be easily verified. Besides, the approach for the analysis allows one to consider several different types of activation functions, including piecewise linear sigmoids with bounded activations as well as C1-smooth sigmoids. It is believed that these results are significant and convenient in the design and applications of BAM neural networks. Copyright © 2002 John Wiley & Sons, Ltd.
KW - Bidirectional associative memory
KW - Global asymptotic stability
KW - Lyapunov functional
KW - Neural networks
KW - Time delay
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U2 - 10.1002/cta.206
DO - 10.1002/cta.206
M3 - RGC 21 - Publication in refereed journal
SN - 0098-9886
VL - 30
SP - 519
EP - 546
JO - International Journal of Circuit Theory and Applications
JF - International Journal of Circuit Theory and Applications
IS - 5
ER -