Novel delay-dependent synchronization criteria for chaotic Lur´e Systems

This paper studies the synchronization problem for a class of chaotic Lur´e systems using a time-delay feedback control. By dividing the delay interval into multiple segments, some proper Lyapunov-Krasovskii functionals with different weighting matrices corresponding to different segments are constructed. Based on new Lyapunov-Krasovskii functionals and linear matrix inequality technique, some new delay-dependent synchronization criteria are derived. Moreover, delayed feedback controllers are established under which the chaotic master and slave systems are synchronized with a guaranteed H∞ performance. Finally, two numerical simulations are given to validate the effectiveness and feasibility of the obtained results.