The control of a class of uncertain fractional-order chaotic systems via reduced-order method
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- 作者：Yanhui Zeng ; Runzi Luo ; luo_rz@163.com" class="auth_mail" title="E-mail the corresponding author ; Haipeng Su
- 关键词：Fractional-order chaotic system ; Chaos control ; Reduced-order method
- 刊名：Optik - International Journal for Light and Electron Optics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：127
- 期：24
- 页码：11948-11959
- 全文大小：849 K
文摘
In this paper we mainly discuss the control of a class of 3,4-dimensional fractional-order chaotic systems with unknown parameter, model uncertainties and external disturbances. Based on the fractional-order extension of Lyapunov stability theorem some novel criteria for the control of a class of 3,4-dimensional fractional-order chaotic systems are proposed via reduced-order method. Moreover, by using our results the control and synchronization of the fractional-order Rössler system is also investigated. Numerical simulations are shown to further verify the feasibility of the presented control schemes.