Master–Slave Synchronization of Fourth-Order Lü Chaotic Oscillators via Linear Output Feedback

Author

Loría, Antonio

Author_Institution

Lab. des Signaux et Syst., Supelec-CNRS, Gif-sur-Yvette, France

Volume

57

Issue

3

fYear

2010

fDate

3/1/2010 12:00:00 AM

Firstpage

213

Lastpage

217

Abstract

We solve the problem of master-slave synchronization of fourth-order Lu´s hyperchaotic systems via feedback control. We use only one control input that enters in the slave system. We show that this simple feedback suffices to synchronize both systems exponentially fast. We provide a proof of stability and convergence (hence, that synchronization takes place) via Lyapunov´s second stability method. We provide some numeric simulations that illustrate our findings.

Keywords

Lyapunov methods; chaos; circuit feedback; circuit stability; nonlinear control systems; numerical stability; oscillators; synchronisation; Lyapunov second stability method; convergence; feedback control; fourth-order Lu chaotic oscillators; hyperchaotic system; linear output feedback; master-slave synchronization; numeric simulations; Chaos; Circuits; Control systems; Convergence; Feedback control; Numerical simulation; Oscillators; Output feedback; Stability; Telecommunication control; Chaos; control; synchronization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2010.2040303

Filename

5437389