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Zbl 1133.35386
Lou, Xuyang; Cui, Baotong
Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms.
(English)
[J] Chaos Solitons Fractals 33, No. 2, 653-662 (2007). ISSN 0960-0779

Summary: Employing Lyapunov functional method, we analyze the ultimate boundedness and global exponential stability of a class of reaction-diffusion cellular neural networks with time-varying delays. Some new criteria are obtained to ensure ultimate boundedness and global exponential stability of delayed reaction-diffusion cellular neural networks (DRCNNs). Without assuming that the activation functions $f_{ijl}(\cdot )$ are bounded, the results extend and improve the earlier publications.
MSC 2000:
*35K57 Reaction-diffusion equations
35B35 Stability of solutions of PDE
92B20 General theory of neural networks
35R10 Difference-partial differential equations

Keywords: delay; Lyapunov functional method

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