%0 Journal Article
%T A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach
一种新的分数阶系统稳定理论及在back-stepping方法同步分数阶混沌系统中的应用
%A Hu Jian-Bing
%A Han Yan
%A Zhao Ling-Dong
%A
胡建兵
%A 韩焱
%A 赵灵冬
%J 物理学报
%D 2009
%I
%X A stablility theorem is proposed for fractional systems whose order is not greater than 1. Based on this theorem, back-stepping approach for designing controller is extended to fractional order chaotic system. And the fractional order Newton-Leipnik chaotic system is synchronized based on the extended backstepping approach. Numerical simulation certifies effectiveness of the method.
%K Newton-Leipnik
分数阶,
%K 同步,
%K back-stepping方法,
%K Newton-Leipnik
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=497A03CF00D0AC157E990AA20E128CCC&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=E158A972A605785F&sid=A546221D94E329E5&eid=7A4D490451ECA9E5&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0