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Exponential stability of delayed fuzzy cellular neural networks with diffusion. (English) Zbl 1138.35414
Summary: The exponential stability of delayed fuzzy cellular neural networks (FCNN) with diffusion is investigated. Exponential stability, significant for applications of neural networks, is obtained under conditions that are easily verified by a new approach. Earlier results on the exponential stability of FCNN with time-dependent delay, which is a special case of the model studied in this paper, are improved without using the time-varying term condition d$\tau \left(t\right)/$d$t<\mu$.
##### MSC:
 35R10 Partial functional-differential equations 35B35 Stability of solutions of PDE 68U10 Image processing (computing aspects) 94A08 Image processing (compression, reconstruction, etc.)