Various methods for modified projective synchronization of Liu system and the new Lorenz system

Author

Yang, Dongyi ; Zhou, Wuneng ; Ma, Siming ; Li, Xuan

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2578

Lastpage

2584

Abstract

In this paper, we mainly concern the synchronization of Liu hyperchaotic system and the new Lorenz hyperchaotic system. Within the two systems, we achieve the modified projective synchronization (MPS) and adaptive modified projective synchronization (AMPS). In addition, based on the Lyapunov stability theory, the adaptive modified projective dislocated synchronization (AMPDS) is proposed, which realizes the projective dislocated synchronization between two systems with uncertain parameters. Numerical examples are given to show the feasibility and effectiveness of these methods.

Keywords

Lyapunov methods; chaos; nonlinear control systems; stability; synchronisation; Liu hyperchaotic system synchronization; Lorenz hyperchaotic system; Lyapunov stability theory; adaptive modified projective dislocated synchronization; uncertain parameters; Adaptive systems; Aerospace electronics; Chaos; Estimation; Lyapunov methods; Synchronization; Vectors; Active Control; Dislocated; Hyperchaotic; Projective Synchronization; Uncertain Parameter;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244410

Filename

6244410