Generalized Functional Projective Synchronization of a New Hyperchaotic System Based Parameters Identification

Author

Wu, Xiangjun ; Guo, Nian

Author_Institution

Inst. of Complex Intell. Network Syst., Henan Univ., Kaifeng, China

fYear

2011

fDate

17-18 July 2011

Firstpage

1

Lastpage

4

Abstract

In this paper, generalized functional projective synchronization of a new hyperchaotic system with uncertain parameters is investigated by using adaptive control technique. Based on the Lyapunov stability theory, the adaptive controllers are designed to make the states of two identical new hyperchaotic systems asymptotically synchronize up to the desired scaling function matrix. The parameter update law for estimating the unknown parameters of the systems is also derived. Theoretical proof and numerical simulations demonstrate the effectiveness and feasibility of the proposed synchronization scheme.

Keywords

Lyapunov matrix equations; asymptotic stability; nonlinear control systems; parameter estimation; synchronisation; uncertain systems; Lyapunov stability theory; adaptive control design; asymptotic synchronization; generalized functional projective synchronization; hyperchaotic system; numerical simulations; parameter identification; scaling function matrix; Adaptive systems; Chaotic communication; Control systems; Lyapunov methods; Numerical simulation; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits, Communications and System (PACCS), 2011 Third Pacific-Asia Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4577-0855-8

Type

conf

DOI

10.1109/PACCS.2011.5990176

Filename

5990176