Globally exponentially attractive set and synchronization controlling of a new chaotic system

Author

Wang, Gui-He ; Jian, Ji-Gui

Author_Institution

Coll. of Foreign Languages, China Three Gorges Univ., Yichang, China

Volume

2

fYear

2010

fDate

11-14 July 2010

Firstpage

916

Lastpage

921

Abstract

In the paper, we firstly investigate the globally exponentially attractive set of a new chaotic system via the generalized Lyapunov function theory and a concrete spheroid estimation of the globally exponentially attractive set of the chaotic system was obtained without existence assumptions. Secondly, based on some inequalities techniques, linear feedback control with one state feedback and one input or two inputs is proposed to realize the globally exponential synchronization of two identical chaotic systems. Some sufficient algebraic criteria for the globally exponential synchronization are obtained analytically. The control performances are verified by numerical simulations.

Keywords

Lyapunov methods; algebra; linear systems; nonlinear control systems; state feedback; synchronisation; algebraic criteria; chaotic system; concrete spheroid estimation; generalized Lyapunov function theory; globally exponentially attractive set; inequalities techniques; linear feedback control; state feedback; synchronization control; Chaos; Frequency locked loops; Synchronization; Chaotic system; globally exponential synchronization; globally exponentially attractive set; inequality technique; linear feedback control;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2010 International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-6526-2

Type

conf

DOI

10.1109/ICMLC.2010.5580602

Filename

5580602