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Zbl 1213.93200
Xu, Xiaohui; Zhang, Jiye; Zhang, Weihua
Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays.
(English)
[J] Appl. Math. Lett. 24, No. 1, 5-11 (2011). ISSN 0893-9659

Summary: Some sufficient conditions ensuring mean square exponential stability of the equilibrium point of a class of stochastic neural networks with reaction-diffusion terms and time-varying delays are obtained. The conditions involving the effect of diffusion terms reduce the conservatism of the previous results. Finally, we give a numerical example to verify the effectiveness of our results.
MSC 2000:
*93E12 System identification (stochastic systems)
92B20 General theory of neural networks
34K40 Neutral equations

Keywords: neural networks; mean square stability; stochastic; reaction-diffusion; delays

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