Anti-synchronization of Liu system and Rössler system with unknown parameters based on adaptive control

Author

Tao, Jinghui ; Zhang, Jinhui ; Zhao, Jiakun

Author_Institution

Sch. of Marketing & Logistics Manage., Nanjing Univ. of Finance &Econ., Nanjing, China

fYear

2011

fDate

15-17 July 2011

Firstpage

88

Lastpage

91

Abstract

This paper treats chaos anti-synchronization between Liu system and Rossler system with unknown parameters via adaptive control. Based on Lyapunov stability theory, the adaptive control law and the parameter update rule for unknown parameters are derived to ensure the anti-synchronization of the two non-identical chaotic systems. Numerical simulations are also shown to verify the results.

Keywords

Lyapunov methods; adaptive control; chaos; Liu system antisynchronization; Lyapunov stability theory; Rossler system antisynchronization; adaptive control; chaos antisynchronization; nonidentical chaotic system; numerical simulation; parameter update rule; unknown parameter; Adaptive control; Chaos; Educational institutions; Lyapunov methods; Numerical simulation; Parameter estimation; Synchronization; Adaptive control; Anti-synchronization; Chaotic system; Uncertain parameter;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on

Conference_Location

Hohhot

Print_ISBN

978-1-4244-9436-1

Type

conf

DOI

10.1109/MACE.2011.5986864

Filename

5986864