Control Chaos in System with Fractional Order

• 作者: Xiaozhou Yin Yamin Wang Yong Liu
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: CHAOS FRACTIONAL Order SYSTEM NONLINEAR FEEDBACK CONTROL
• 年，卷（期）: 2012,（6）
• 页码范围: 496-501
• 页数: 6页
• 分类号: O41

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.