Synchronization of chaotic Lur'e systems with state and transmission line time delay: a linear matrix inequality approach

This paper is concerned with the problem of the master-slave synchronization of chaotic Lur'e systems with multiple time delays in their states and transmission line. Based on the Lyapunov-Krasovskii functional, some delay-dependent synchronization criteria are obtained and formulated in the form of linear matrix inequalities (LMIs) to ascertain the global asymptotic stability of the error system such that the slave system is synchronized with the master. With the help of the LMI solvers, the time-delay feedback control law can easily be obtained. The effectiveness of the proposed method is illustrated using some numerical simulations performed on two chaotic systems.