Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller

doi:10.1088/1674-1056/20/11/110506

Abstract In this paper, we investigate the stabilization of an incommensurate fractional order chaotic systems and propose a modified adaptive-feedback controller for the incommensurate fractional order chaos control based on the Lyapunov stability theory, the fractional order differential inequality and the adaptive control theory. The present controller, which only contains a single state variable, is simple both in design and in implementation. The simulation results for several fractional order chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

Keywords: stabilization modified adaptive feedback control fractional-order chaotic system chaos control

Received: 27 May 2011
Revised: 30 June 2011
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000343).

Cite this article:

Zhang Ruo-Xun(张若洵) and Yang Shi-Ping (杨世平) Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller 2011 Chin. Phys. B 20 110506

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Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller

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