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In this paper we consider a class of complex-valued Hopfield neural network which is a complex value extension of the real-valued Hopfield type neural network. To apply it to complex-valued associative memory (i.e. to store each desired memory as equilibrium of the network) we design a synthesis method. Neither the orthogonal relations between the set of memory patterns nor the symmetric assumption...
This paper discusses the synthesis problem for a class of discrete time complex-valued Hopfield neural network. To be an associative memory, each memory pattern of the network should be stable and attractive. For this reason, this paper firstly analysis the stability of network, where a generalized Hamming distance defined in complex-valued domain is used to be Lyapunov function. Thus a stable criterion...
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