ANTICIPATED FUNCTION SYNCHRONIZATION WITH UNKNOWN PARAMETERS OF DISCRETE-TIME CHAOTIC SYSTEMS

Yin Li (), Biao Li and Yong Chen
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Yin Li: Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
Biao Li: Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
Yong Chen: Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 04, 597-608

Abstract: In this paper, firstly, the control problem for the chaos synchronization of discrete-time chaotic (hyperchaotic) systems with unknown parameters are considered. Next, backstepping control law is derived to make the error signals between drive 2D discrete-time chaotic system and response 2D discrete-time chaotic system with two uncertain parameters asymptotically synchronized. Finally, the approach is extended to the synchronization problem for 3D discrete-time chaotic system with two unknown parameters. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Keywords: Anticipated function synchronization; backstepping design; fold maps; Hénon maps; 05.45.Yv; 02.30.Jr; 42.65.Tg (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013820

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