Title: Synchronisation of Lorenz systems via combining drive and Delayed Feedback Control methods

Authors: Li-lan Tu, Shui-fang Yin, Jia Hu

Addresses: College of Science, Wuhan University of Science and Technology, Wuhan, China. ' College of Science, Wuhan University of Science and Technology, Wuhan, China. ' College of Science, Wuhan University of Science and Technology, Wuhan, China

Abstract: The synchronisation problem of Lorenz system is further investigated in this paper. On the basis of the Lyapunov stability theory, some simple and useful criteria for synchronisation to be delay-independent asymptotically stable are presented via combining drive and Delayed Feedback Control (DFC) methods. Especially, only one controller is needed to obtain synchronisation asymptotically. Theoretical analysis and numerical simulations show the effectiveness and feasibility of the proposed schemes.

Keywords: synchronisation; Lorenz systems; drives; DFC; delayed feedback control; Lyapunov stability theory.

DOI: 10.1504/IJSCC.2009.026326

International Journal of Systems, Control and Communications, 2009 Vol.1 No.4, pp.517 - 524

Published online: 06 Jun 2009 *

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