Title :
Fractional Order Adaptive Synchronization of a New Hyperchaotic System with an Uncertain Parameter
Author_Institution :
Sch. of Math. & Sci., North China Electr. Power Univ., Baoding, China
Abstract :
This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system´s synchronization scheme are verified via numerical simulations.
Keywords :
Lyapunov methods; adaptive control; chaos; closed loop systems; synchronisation; Lyapunov stability theorem; closed system stability; fractional order adaptive synchronization; hyperchaotic system; uncertain parameter; Adaptive control; Chaotic communication; Chemicals; Control systems; Lyapunov method; Master-slave; Mathematics; Numerical simulation; Programmable control; Stability; fractional order; hyperchaotic; synchronization;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.20