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Zbl 1144.34375
Rakkiyappan, R.; Balasubramaniam, P.
Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays. (English)
[J] Appl. Math. Comput. 198, No. 2, 526-533 (2008). ISSN 0096-3003

Summary: The global asymptotic stability of stochastic recurrent neural networks with time varying delays is analyzed. By utilizing a Lyapunov functional and combining it with the linear matrix inequality (LMI) approach, we analyze the global asymptotic stability of stochastic delayed recurrent neural networks. In addition, an example is provided to illustrate the applicability of the result.

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K50 Stochastic delay equations
92B20 General theory of neural networks

Keywords: stochastic delay differential equations; Lyapunov functional; linear matrix inequality; global asymptotic stability; delayed recurrent neural networks

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