Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity

doi:10.1088/1674-1056/20/1/010506

Abstract In this paper we present a synchronization method for chaotic Lur'e systems by constructing a new piecewise Lyapunov function. Using a delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur'e systems with deadzone nonlinearity. Based on the Lyapunov–Krasovskii functional and by using some properties of the nonlinearity, a new delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality (LMI) formulation. The criterion is less conservative than existing ones, and it will be verified through a numerical example.

Keywords: Lur'e systems synchronization deadzone linear matrix inequality

Received: 25 June 2010
Revised: 27 September 2010
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the Daegu University Research (Grant No. 2009).

Cite this article:

S.M. Lee, O.M. Kwon, and Ju H. Park Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity 2011 Chin. Phys. B 20 010506

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Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity

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