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Zbl 1245.34075
Faydasicok, Ozlem; Arik, Sabri
Equilibrium and stability analysis of delayed neural networks under parameter uncertainties. (English)
[J] Appl. Math. Comput. 218, No. 12, 6716-6726 (2012). ISSN 0096-3003

A class of neural networks with multiple time delays under parameter uncertainties is studied. The authors prove existence, uniqueness and global asymptotic stability of an equilibrium of such net. In order to do this Lyapunov stability theorem and homeomophism mapping theorem are applied. In this way, delay-independent stability criteria are obtained in terms of network parameters. Numerical examples are provided as well.
[Angela Slavova (Sofia)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks
34K21

Keywords: stability analysis; delayed neural networks; interval matrices; Lyapunov functional

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