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Type-\(K\) exponential ordering with application to delayed Hopfield-type neural networks. (English) Zbl 1245.93060

Summary: Order-preserving and convergent results of delay functional differential equations without quasimonotone condition are established under type-K exponential ordering. As an application, the model of delayed Hopfield-type neural networks with a type-K monotone interconnection matrix is considered, and the attractor result is obtained.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
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