Abstract

This paper increases the upper bound of sampling interval for synchronization of chaotic Lur'e systems. First, the characteristics of a sampling pattern and nonlinearities are fully utilized in a new piecewise-differentiable Lyapunov functional, which is continuous at sampling instant. Second, appropriate slack variables are used for handling a zero constraint. Using the slack variables gives the relaxation of a synchronization criterion. Based on the Lyapunov functional and the zero constraint, the synchronization criterion is derived by applying free-matrix-based integral inequalities and Finsler's lemma. The free-matrix-based integral inequalities are used for yielding tight bounds on integral terms related to the sampling pattern. Finsler's lemma is applied for transforming a bilinear matrix inequality that is generated by slack variables into a linear matrix inequality. This paper applies the proposed criterion to the application to the secure communication. Simulation results show the effectiveness of the proposed criterion.

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