title: Synchronization of time-delayed systems.
abstract: In this paper we study synchronization in linearly coupled time-delayed systems. We first consider coupled nonidentical Ikeda systems with a square wave coupling rate. Using the theory of the time-delayed equation, we derive less restrictive synchronization conditions than those resulting from the Krasovskii-Lyapunov theory [Yang Kuang, (Academic Press, New York, 1993)]. Then we consider a wide class of nonlinear nonidentical time-delayed systems. We also propose less restrictive synchronization conditions in an approximative sense, even if the coefficients in the linear time-delayed equation on the synchronization error are time dependent. Theoretical analysis and numerical simulations fully verify our main results.
authors.affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.
authors.forename: Maoyin
authors.initials: M
authors.lastname: Chen
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths