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Synchronization Design of Boolean Networks Via the Semi-Tensor Product Method

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3 Author(s)
Rui Li ; State Key Lab. for Turbulence & Complex Syst., Peking Univ., Beijing, China ; Meng Yang ; Tianguang Chu

We provide a general approach for the design of a response Boolean network (BN) to achieve complete synchronization with a given drive BN. The approach is based on the algebraic representation of BNs in terms of the semi-tensor product of matrices. Instead of designing the logical dynamic equations of a response BN directly, we first construct its algebraic representation and then convert the algebraic representation back to the logical form. The results are applied to a three-neuron network in order to illustrate the effectiveness of the proposed approach.

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Neural Networks and Learning Systems, IEEE Transactions on  (Volume:24 ,  Issue: 6 )