Synchronization of Lurie system based on contraction analysis

In this paper, a new synchronization criterion for chaotic Lurie systems with sector and slope restricted nonlinearities is proposed. Without analyzing the stability of the error system, synchronization condition for general Lurie systems is firstly given based on the contraction analysis. Furthermore, the result is extended to the Chua's system whose state equation is not differentiable. Finally, three representative examples are presented to support the theoretical results.