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
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;
Conference_Titel :
Transportation, Mechanical, and Electrical Engineering (TMEE), 2011 International Conference on
Conference_Location :
Changchun
Print_ISBN :
978-1-4577-1700-0
DOI :
10.1109/TMEE.2011.6199505
