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This paper concerns the synchronization of drive-response Boolean control networks (BCNs) under event-triggered control. The algebraic form of drive-response BCNs can be acquired with the help of semi-tensor product of matrices. Using the algebraic form, a necessary and sufficient condition is obtained for the synchronization of drive-response BCNs. Then, a constructive procedure is presented to design...
By resorting to a new matrix product, called semi-tensor product of matrices, this paper investigates the minimum stable set and core of graph, and also presents a number of results and algorithms. By defining a characteristic logical vector and using matrix expressions of logical functions, a new algebraic representation is derived for the externally stable set. Then, based on the algebraic representation,...
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