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Zbl 1152.34372
Huang, Chuangxia; Chen, Ping; He, Yigang; Huang, Lihong; Tan, Wen
Almost sure exponential stability of delayed Hopfield neural networks. (English)
[J] Appl. Math. Lett. 21, No. 7, 701-705 (2008). ISSN 0893-9659

Summary: The stability of stochastic delayed Hopfield neural networks (DHNN) is investigated in this paper. Under the help of suitable Lyapunov function and the semimartingale convergence theorem, we obtain some sufficient criteria to check the almost sure exponential stability of the DHNN.
MSC 2000:
*34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: stochastic; Hopfield neural network; almost sure exponential stability; Lyapunov function

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