On Sampled-Data Control for Master-Slave Synchronization of Chaotic Lur'e Systems

Abstract

This brief presents a new method for master-slave synchronization of chaotic Lur'e systems with sampled-data control. The new method is based on a novel construction of piecewise differentiable Lyapunov functionals in the framework of the input delay approach. The new Lyapunov functional is continuous at sampling times but not necessarily positive definite inside the sampling intervals. Compared with the existing works, the proposed method makes full use of the information on the piecewise constant input and the actual sampling pattern. Two illustrative examples are given which substantiate the usefulness of the proposed method.