Article ID Journal Published Year Pages File Type
767142 Communications in Nonlinear Science and Numerical Simulation 2012 14 Pages PDF
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.

► 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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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