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Zbl 1219.93090
Li, Chuandong; Hu, Wenfeng; Wu, Sichao
Stochastic stability of impulsive BAM neural networks with time delays. (English)
[J] Comput. Math. Appl. 61, No. 8, 2313-2316 (2011). ISSN 0898-1221

Summary: The problem of stability analysis of stochastic BAM neural networks with time delays and impulse effects is investigated in this paper. Using the Lyapunov technique and the generalized Hanalay inequality, we characterize theoretically the aggregated effects of impulse and stability properties of the impulse-free version. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays.

MSC 2000:: *93D05 Lyapunov and other classical stabilities of control systems
34K20 Stability theory of functional-differential equations
34F05 ODE with randomness
34K45 Equations with impulses
60H10 Stochastic ordinary differential equations
92B20 General theory of neural networks

Keywords: BAM neural networks; stochastic stability; impulse; time delay

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