Non Existence of Periodic Solutions of Rational Fractional Order Linear Time Invariant Systems

摘要：

Existence of periodic solutions of fractional order dynamic systems is an important and diffiult issue in fractional order systems field. In this paper, the existence of periodic solutions of rational fractional order linear time invariant systems is discussed. Rational fractional order linear time invariant autonomous system is proved to be equivalent to an integer order linear time invariant non-autonomous system. The nonexistence of periodic solutions of fractional order dynamic systems are proved by means of contradiction method. The examples and state figures are given to illustrate the effects of conclusion derived.

关键词： existence criterion rational fractional order systems equivalence periodic systems.

作者: Xuefeng Zhang YangQuan Chen

作者单位: Institute of System Science, Northeastern University, Shenyang,Liaoning, 110004, China Center for Self-Organizing and Intelligent Systems, Electrical and Computer Engineering Department,

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）