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Control Chaos in System with Fractional Order
Basis Course of Lianyungang Technical College, Lianyungang, China
Lianyungang Technical College, Lianyungang, China
School of Mathematical Science, Yancheng Teachers University, Yancheng, China
- 1 Basis Course of Lianyungang Technical College, Lianyungang, China
- 2 Lianyungang Technical College, Lianyungang, China
- 3 School of Mathematical Science, Yancheng Teachers University, Yancheng, China
Journal of Modern Physics·Volume 03 (2012)·Pages 496–501·Published 21 June 2012·DOI10.4236/jmp.2012.36067
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Abstract
In this paper, by utilizing the fractional calculus theory and computer simulations, dynamics of the fractional order system is studied. Further, we have extended the nonlinear feedback control in ODE systems to fractional order systems, in order to eliminate the chaotic behavior. The results are proved analytically by stability condition for fractional order system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.
KeywordsChaosFractional Order SystemNonlinear Feedback Control
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