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Zbl 1225.34091
Wan, Li; Zhou, Qinghua
Attractor and ultimate boundedness for stochastic cellular neural networks with delays. (English)
[J] Nonlinear Anal., Real World Appl. 12, No. 5, 2561-2566 (2011). ISSN 1468-1218

Summary: This paper investigates attractors and ultimate boundedness of stochastic cellular neural networks with delays. By employing the Lyapunov method and a Lasalle-type theorem, novel results and sufficient criteria for the existence of an attractor and ultimate boundedness are obtained.
MSC 2000:
*34K50 Stochastic delay equations
34K12 Properties of solutions of functional-differential equations
92B20 General theory of neural networks
34K25 Asymptotic theory of functional-differential equations

Keywords: stochastic cellular neural networks; attractor; ultimate boundedness; delays

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