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

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.

► Exponential synchronization of non-autonomous systems with time-varying delay via delayed feedback control is derived.
► Exponential synchronization of non-autonomous systems with time-varying delay via delayed intermittent control is derived.
► Exponential synchronization conditions are formulated in terms of solutions of certain Riccati differential equations.