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IEEE Trans Neural Netw Learn Syst. 2013 Jun;24(6):996-1001. doi: 10.1109/TNNLS.2013.2248092.

Synchronization design of Boolean networks via the semi-tensor product method.


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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