%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