非同元次分数阶混沌系统的组合同步  

Combination Synchronization among Three Identical Incommensurate Fractional-order Chaoic Systems

作　　者：林慧妮[1] 

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《漳州师范学院学报（自然科学版）》2013年第3期1-7,共7页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：国家自然科学基金项目(61074012);福建省自然科学基金项目(2011J01025);福建省教育厅科技项目资助(JA12210)

摘　　要：本文基于追踪控制的思想,分别利用非同元次分数阶线性系统的稳定性理论与分数阶混沌系统稳定性判定定理给出了控制器的不同选择方案,并从理论上证明了它们都能实现三个非同元次分数阶L u系统的组合同步.最后,通过数值仿真验证理论的正确性和控制策略的有效性.Based on the idea of tracking control, we give two different options of controllers by using the stability theory of incommensurate fractional-order linear systems and the stability determinant theorem of fractional-order chaos systems, respectively. And we prove that they both can achieve the combination synchronization among three incommensurate fractional-order Lu？？ systems theoretically. Finally, the numerical simulations are provided to illustrate the correctness of the theory and the effectiveness of the control strategy.

关 键 词：组合同步 追踪控制 分数阶混沌系统 稳定性理论 

分 类 号：O231.2[理学—运筹学与控制论]