Global Asymptotical Synchronization of Chaotic Lur´e Systems Using Sampled Data: A Linear Matrix Inequality Approach

Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur´e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur´e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur´e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua´s circuits.