H∞ synchronization of chaotic systems via delayed feedback control

Authors:
Sheng Li;Yang Hui-Zhong
Affiliations:
Institute of Measurement and Process Control, Jiangnan University, Wuxi, PRC 214122 and Institute for Systems Research, University of Maryland, College Park, USA 20740;Institute of Measurement and Process Control, Jiangnan University, Wuxi, PRC 214122
Venue:
International Journal of Automation and Computing
Year:
2010

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Abstract

The H∞ synchronization problem for a class of delayed chaotic systems with external disturbance is investigated. A novel delayed feedback controller is established under which the chaotic master and slave systems are synchronized with a guaranteed H∞ performance. Based on the Lyapunov stability theory, a delay-dependent condition is derived and formulated in the form of linear matrix inequality (LMI). A numerical simulation is also presented to validate the effectiveness of the developed theoretical results.