Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control

This paper is concerned with the issue of master-slave synchronization for chaotic Lur’e systems (CLSs) with time-varying-delay feedback control. A novel integral inequality is developed by employing two adjustable parameters, which encompasses the celebrated Wirtinger’s integral inequality and Jensen’s inequality as two special cases. By constructing an augmented Lyapunov–Krasovskii functional (LKF) taking fully the information time-varying-delay range into account, less conservative delay-dependent synchronization criteria are established in the form of linear matrix inequalities (LIMs). Besides, the desired controller gain can be achieved by introducing new nonlinear function conditions, which have not been proposed so far. Finally, a numerical example of typical Chua’s circuit is presented to show the improvements over the existing criteria and the effectiveness of the design approach.