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.