GENERALIZED PROJECTIVE SYNCHRONIZATION AND PARAMETERS ESTIMATION OF TWO NEW HYPERCHAOTIC SYSTEMS WITH FULLY UNCERTAIN PARAMETERS

Cong-Xu Zhu ()
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Cong-Xu Zhu: School of Information Science and Engineering, Central South University, Changsha, Hunan 410083, P. R. China

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 02, 249-259

Abstract: This paper investigates adaptive generalized projective synchronization (GPS) between two novel hyperchaotic systems with different structure and fully uncertain parameters. Based on the Lyapunov stability theorem and the adaptive control theory, GPS between the two hyperchaotic systems is achieved by proposing a new adaptive controller and a novel parameters estimation update law. Strict theoretical proof is put forward. Numerical simulations are presented to demonstrate the effectiveness of the proposed GPS scheme and verify the theoretical results.

Keywords: Hyperchaotic system; adaptive control; generalized projective synchronization; Lyapunov stability theorem; 05.45.-a (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015099

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