Master-slave synchronization of chaotic Lur´e systems under delayed impulsive control

This paper is concerned with the problem of designing output feedback impulsive controllers for master-slave synchronization of Lur´e systems in the presence of impulse input delays. A discontinuous Lyapunov function is introduced to analyze the exponential stability of synchronization error dynamics. A sufficient condition for master-slave impulsive synchronization of chaotic Lur´e systems is derived in terms of linear matrix inequalities (LMIs). The derived stability condition depends both on the lower bound and the upper bound of impulsive intervals, which is robust with respect to small impulse input delays. The impulsive controller gains can be achieved by solving a set of LMIs. Finally, Chua´s circuit is used to illustrate the effectiveness of the proposed design method.