分数阶系统稳定性理论与控制研究  

Stability theorem and control of fractional systems

作　　者：胡建兵[1] 赵灵冬[1,2] 

机构地区：[1]南通大学电子信息学院,南通226019 [2]东华大学信息科学与技术学院,上海201620

出　　处：《物理学报》2013年第24期31-37,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61304062,61374061,61174065,61174066,61273103)资助的课题~~

摘　　要：分数阶系统稳定性理论是分数阶非线性系统控制的基础.针对分数阶非线性系统稳定性理论的讨论,本文从另一角度证明了该理论的正确性.结果表明,分数阶非线性系统稳定性理论不仅适用于分数阶自治系统,也同样适用于分数阶非自治系统.利用该理论分析了多个实例并进行了数值仿真,仿真结果验证了该理论的有效性.The stability theorem of fractional systems is the basis of controlling fractional nonlinear systems. The theorem of fractional nonlinear systems is proved by a new approach in this paper. The results show that the theorem is applicable not only to the fractional nonlinear autonomous system, but also to the fractional nonlinear nonautonomous system. Several examples are analyzed by the theorem, and simulations are carried out, whose results show the effectiveness of the theorem.

关 键 词：分数阶系统 稳定性理论 非自治 自治 

分 类 号：O231.2[理学—运筹学与控制论]