Novel stability criteria for bidirectional associative memory neural networks with time delays
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 519-546 |
Journal / Publication | International Journal of Circuit Theory and Applications |
Volume | 30 |
Issue number | 5 |
Publication status | Published - Sept 2002 |
Link(s)
Abstract
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.
Research Area(s)
- Bidirectional associative memory, Global asymptotic stability, Lyapunov functional, Neural networks, Time delay
Citation Format(s)
Novel stability criteria for bidirectional associative memory neural networks with time delays. / Liao, Xiaofeng; Yu, Juebang; Chen, Guanrong.
In: International Journal of Circuit Theory and Applications, Vol. 30, No. 5, 09.2002, p. 519-546.
In: International Journal of Circuit Theory and Applications, Vol. 30, No. 5, 09.2002, p. 519-546.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review