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Control Chaos in System with Fractional Order

Control Chaos in System with Fractional Order
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摘要 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. 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.
出处 《Journal of Modern Physics》 2012年第6期496-501,共6页 现代物理(英文)
关键词 CHAOS FRACTIONAL Order SYSTEM NONLINEAR FEEDBACK CONTROL Chaos Fractional Order System Nonlinear Feedback Control
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