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 novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach

作　　者：胡建兵[1] 韩焱[1] 赵灵冬[1] 

机构地区：[1]中北大学电子测试技术国家重点实验室,仪器科学与动态测试教育部重点实验室,太原030051

出　　处：《物理学报》2009年第4期2235-2239,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60372073)资助的课题~~

摘　　要：对阶次小于1的分数阶系统的稳定问题,提出了一种新的判据.基于该理论,将back-stepping方法拓展到分数阶系统中并设计控制器实现了分数阶Newton-Leipnik混沌系统的同步.数值仿真验证了稳定性理论的准确性及控制器设计方法的有效性.A stablility theorem is proposed for fractional systems whose order is not greater than 1.Based on this theorem,backstepping 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.

关 键 词：分数阶 同步 back-stepping方法 Newton-Leipnik 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]