Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1189.34011
Hosseinnia, S.H.; Ghaderi, R.; Ranjbar N., A.; Mahmoudian, M.; Momani, S.
Sliding mode synchronization of an uncertain fractional order chaotic system. (English)
[J] Comput. Math. Appl. 59, No. 5, 1637-1643 (2010). ISSN 0898-1221

Summary: Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for uncertain nonlinear chaotic systems.

MSC 2000:: *34A08
26A33 Fractional derivatives and integrals (real functions)
93B52 Feedback control
37N35 Dynamical systems in control
34D06
37D45 Strange attractors, chaotic dynamics

Keywords: fractional derivative; sliding mode control (SMC); Duffing-holmes; synchronization; chaos; Lyapunov stability analysis

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]