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Zbl 1198.35025
Balasubramaniam, P.; Vidhya, C.
Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms. (English)
[J] J. Comput. Appl. Math. 234, No. 12, 3458-3466 (2010). ISSN 0377-0427

Summary: This paper is concerned with global asymptotic stability of a class of reaction-diffusion stochastic bi-directional associative memory (BAM) neural networks with discrete and distributed delays. Based on suitable assumptions, we apply the linear matrix inequality method to propose some new sufficient stability conditions for reaction-diffusion stochastic BAM neural networks with discrete and distributed delays. The obtained results are easy to check and improve upon the existing stability results. An example is also given to demonstrate the effectiveness of the obtained results.

MSC 2000:: *35B35 Stability of solutions of PDE
35K57 Reaction-diffusion equations
60H15 Stochastic partial differential equations
35R10 Difference-partial differential equations
35R60 PDE with randomness
60H35 Computational methods for stochastic equations

Keywords: mixed delays; linear matrix inequality method

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