Projective synchronization for a fractional-order chaotic system via single sinusoidal coupling

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• 作者：Li Chun-Lai ; ^{ChaoEncryption@126.com" class="auth_mail" title="E-mail the corresponding author} ; Zhang Mei ; ^{MeiZhang163163@163.com" class="auth_mail" title="E-mail the corresponding author} ; Zhou Feng ; Yang Xuan-Bing
• 关键词：05.45.Ac ; 05.45.Pq
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：127
• 期：5
• 页码：2830-2836
• 全文大小：1039 K

文摘

This paper investigates the sufficient criterion for robust projective synchronization of a fractional-order chaotic system. On the basis of the input-to-state stable (ISS) theory, a single sinusoidal state coupling controller is derived to achieve projective synchronization of this fractional dynamical system by considering bounded interference. The control parameters are obtained by resolving the matrix inequality into some algebraic inequalities. Numerical simulations are presented to verify the effectiveness of the introduced synchronization scheme.