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Zbl 1116.34058
Gopalsamy, K.
Leakage delays in BAM. (English)
[J] J. Math. Anal. Appl. 325, No. 2, 1117-1132 (2007). ISSN 0022-247X

The author discusses the stability and the exponential stability of the equilibrium for some models arising in bidirectional associative memory (BAM). The model is given by a system of delay differential equations. First, the author shows the existence and uniqueness of the equilibrium. Then they author gives some sufficient conditions to get stability and the global attractivity of the unique equilibrium. The exponential stability is also considered. The author uses the Lyapunov-Kravsovskii method.
[Khalil Ezzinbi (Marrakech)]
MSC 2000:
*34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: bidirectional associative memory; equilibrium; exponential stability; attractivity

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