Synchronization of master-slave Boolean networks with impulsive effects: Necessary and sufficient criteria

This paper investigates the synchronization of master-slave Boolean networks with impulsive effects. Necessary and sufficient conditions on the synchronization for master-slave Boolean networks with impulsive effects are derived by converting the logical systems into algebraic expression with the method of semi-tensor product of matrices. Some convenient conditions are proposed to judge whether a Boolean network with impulsive effects can be synchronized. Finally, one illustrative example is given to show the effectiveness of the proposed results.

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