Kybernetika 44 no. 4, 571-584, 2008

Global synchronization of chaotic Lur’e systems via replacing variables control

Xiao-Feng Wu, Yi Zhao and Mu-Hong Wang

Abstract:

Finding sufficient criteria for synchronization of master-slave chaotic systems by replacing variables control has been an open problem in the field of chaos control. This paper presents some recent works on the subject, with emphasis on chaos synchronization of both identical and parametrically mismatched Lur'e systems by replacing variables control. The synchronization schemes are formally constructed and two classes of sufficient criteria for global synchronization, linear matrix inequality criterion and frequency-domain criterion, are reviewed and discussed.