Control Chaos in System with Fractional Order

Yamin Wang, Xiaozhou Yin, Yong Liu

Basis Course of Lianyungang Technical College, Lianyungang, China.
Lianyungang Technical College, Lianyungang, China.
School of Mathematical Science, Yancheng Teachers University, Yancheng, China.

DOI: 10.4236/jmp.2012.36067                

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.

Keywords

Chaos; Fractional Order System; Nonlinear Feedback Control

Conflicts of Interest

The authors declare no conflicts of interest.

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