New delay-dependent synchronization criteria for uncertain Lur’e systems via time-varying delayed feedback control

This paper studies the problem of master-slave synchronization for uncertain Lur’e system via time-varying delayed feedback control. It proves a new inequality involving double integrals, which can reduce the conservatism of the known Jensen’s like inequalities according to our analysis. By employing this new inequality and a new class of novel mode-dependent augmented Lyapunov-Krasovskii functional (LKF), it establishes some novel synchronization criteria, where the controller gain can be achieved by solving a set of linear matrix inequalities (LMIs). Two examples with numerical simulations are given to illustrate the feasibility and the superiority of our methods.