Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty

摘要

This paper investigates the synchronization stability conditions of uncertain chaotic Lur’e systems with time-varying delayed feedback control. In order to reduce the conservatism, we introduce a suitable Lyapunov–Krasovskii function with triple and quadruple integral terms. Based on some inequality properties, convex combination techniques and delay decomposition methods, we establish some novel synchronization conditions, which are given in terms of linear matrix inequalities (LMIs). Finally, numerical simulations examples demonstrate the effectiveness and advantages of our conclusions.