Title :
Master–Slave Synchronization of Fourth-Order Lü Chaotic Oscillators via Linear Output Feedback
Author_Institution :
Lab. des Signaux et Syst., Supelec-CNRS, Gif-sur-Yvette, France
fDate :
3/1/2010 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2010.2040303
