DocumentCode
2075682
Title
Synchronization of the different fractional order chaotic system based on a new stability theorem
Author
Huang, Lilian ; Ma, Nan
Author_Institution
Coll. of Inf. & Commun. Eng., Harbin Eng. Univ., Harbin, China
fYear
2011
fDate
16-18 Dec. 2011
Firstpage
1556
Lastpage
1559
Abstract
The paper presents a new stability theorem based on the Lyapunov theory to synchronize fractional-order chaotic system. It can synchronize two different fractional-order chaotic systems in a systematic way avoiding solving equilibrium points and Lyapunov exponents. The proposed controller has simple structure and is designed easily. Two numerical simulations are presented to verify the proposed theory and the simulation results illustrate the effectiveness of the method.
Keywords
Lyapunov methods; chaos; numerical analysis; stability; synchronisation; Lyapunov exponents; Lyapunov theory; equilibrium points; fractional order chaotic system synchronization; numerical simulations; stability theorem; Chaotic communication; Educational institutions; Numerical stability; Stability analysis; Symmetric matrices; Synchronization; Lyapunov theory; chaotic system; fractional-order; stability theorem; synchronization;
fLanguage
English
Publisher
ieee
Conference_Titel
Transportation, Mechanical, and Electrical Engineering (TMEE), 2011 International Conference on
Conference_Location
Changchun
Print_ISBN
978-1-4577-1700-0
Type
conf
DOI
10.1109/TMEE.2011.6199505
Filename
6199505
Link To Document