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This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function (LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities (LMIs) by discarding...
This paper investigates the finite-time lag synchronization of the master-slave Chua's circuit systems with time delay via a variable-substitution and sinusoidal feedback controller. Employing the finite-time stability theory, some finite-time synchronization criteria for the variable-substitution and sinusoidal feedback controller are analytically proven and the corresponding synchronization time...
For a class of chaotic systems with uncertain nonlinear time-delay functions and exogenous disturbance, the problem of observer-based adaptive synchronization is investigated. Based on Lyapunov-Krasovskii fucntional method, a delay-free observer is presented by using sliding mode control and adaptive control techniques. Two numerical simulations are given to show the effectiveness of the proposed...
This paper investigates the synchronization of fractional-order general complex dynamical networks with coupling delay. Based on the stability theory of the fractional-order system, the sufficient criteria for synchronization are derived analytically by applying the linear control methods. The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex...
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