Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

• DOI: 10.1016/j.cnsns.2011.07.038
• Publication Date: 2011-08-08T06:31:35Z
• Authors: T. Botmart; P. Niamsup; X. Liu
• Keywords: Chaotic systems; Intermittent control; Delay differential equation; Stability theory; Lyapunov stability

Abstract In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov–Krasovskii functional, inequality techniques, some sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control and intermittent linear state delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria.