%0 Journal Article
%T Fractional sliding mode surface controller for projective synchronization of fractional hyperchaotic systems<br>基于分数阶滑模面控制的分数阶超混沌系统的投影同步
%A Sun Ning
%A Zhang Hua-Guang
%A Wang Zhi-Liang
%A <br>孙宁
%A 张化光
%A 王智良
%J 物理学报
%D 2011
%I 
%X In this paper, a sliding mode controller with fractional sliding surface is designed for projective synchronization (PS) of fractional hyperchaotic systems via active control theory and sliding mode theory. The existence and the stability of PS between two fractional hyperchaotic systems are studied based on Lyapunov theory, fractional stability theory and the theory of fractional calculus. The criterions for the practical stability of the PS error system are presented also. Numerical simulation of PS between fractional Chen system and a new hyperchaotic system shows the effectiveness of the proposed controller law.
%K sliding mode controller with fractional sliding surface
%K stability analysis
%K fractional hyperchaotic system
%K projective synchronization<br>分数阶滑模面滑模控制器
%K 稳定性分析
%K 分数阶超混沌系统
%K 投影同步
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=B0CEEB0F864CEF710FF81CB03DFAA4C5&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=94C357A881DFC066&sid=57DF1E0A3EF514D8&eid=7C72DBC13F2D71EC&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=22