Controllability and(Ir-)Reducibility of Floquet Factorizations in Continuous-Time Periodic Systems

摘要：

　　The paper examines reducibility/irreducibility of Flouqet factorizations and explicates their relationship with controllability in finite-dimensional linear continuous-time periodic(FDLCP)systems.Reducibility/irreducibility of Floquet factorizations reflect numeric aspects of the transition matrix representation in FDLCP systems that can be attributed to matrix logarithm,which remain unnoticed mostly so far in the Floquet theory.Controllability criteria are claimed by means of Floquet factorizations,including a harmonic PBH test.The results reveal that Floquet factorizations may distort or alter controllability structure when unequally reducible Floquet factors are used separately.Numeric examples are included.

关键词： reducibility irreducibility controllability Floquet factorization

作者: Jun Zhou

作者单位: Dept.of Automatic Engineering,School of Energy and Electrical Engineering,Hohai University,Jiangning Campus,8 Fochengxi Road,Nanjing 211100

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 621-626

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）