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ISSN: 2333-9721
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SPATIO-TEMPORAL STABILITY ANALYSIS FOR DYNAMIC DISTRIBNTED PARAMETER NEURAL NETWORKS
动态分布参数神经网络时空稳定性分析

Keywords: Associative memory,Dynamic neural network,Distributed parameter neural network,Linear operator,Spatio-temporal stability,Energy functional
联想记忆
,动态神经网络,分布参数神经网络,线性算子,时空稳定性,能量泛函

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Abstract:

This paper extends the Hopfield's autoassociative neural networks and the Kosko's bidirectional neural networks to the dynamic neural networks with infinite state, namely the distributed parameter neural networks. Their boundedness and stability theorems are given and proved. Especially, their spatio-temporal stability is studied and their stability criteria about the boundary conditions are given. Finally, a simulation is given.

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