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Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones

✍ Scribed by V. Sree Hari Rao; Bh.R.M. Phaneendra


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
132 KB
Volume
12
Category
Article
ISSN
0893-6080

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✦ Synopsis


In this article, a model describing the activation dynamics of bidirectional associative memory (BAM) neural networks involving transmission delays was considered. The concept of BAM networks employed in this work is improved and it includes the earlier notions known in the literature and is applied to a wider class of networks. Further, we introduced a new notion, as a measure of restoring stability and termed it as a dead zone. In this article, the influence of the presence of dead zones on the global asymptotic stability of the equilibrium pattern was investigated. Existence and uniqueness of an equilibrium pattern under fairly general and easily verifiable conditions were also established.


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## Abstract In this paper, without assuming the boundedness, monotonicity and differentiability of the activation functions, we present new conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of bidirectional associative memory neural networks with