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Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms. (English) Zbl 1133.35386
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 (·) are bounded, the results extend and improve the earlier publications.
MSC:
35K57Reaction-diffusion equations
35B35Stability of solutions of PDE
92B20General theory of neural networks (mathematical biology)
35R10Partial functional-differential equations