Synchronization of Lur´e differential inclusion system with input saturation

This paper studies the synchronization for Lur´e differential inclusion system with input saturation. The set-valued mapping in the differential inclusion is assumed to be upper semi-continuous, closed, convex, bounded and monotone. The saturated control law is constructed to make the error system locally asymptotically stable, and then the maximal domain of attraction is estimated for the error system. A numerical example is provided to show the validation of the proposed method.