2009 Volume 2 Issue 6 Pages 408-414
In this paper, left and right Floquet factorizations for the state transition matrices in finite-dimensional linear continuous-time periodic (FDLCP) systems are defined and their general existence is discussed. Then, mutual relationships and major characteristics of the left and right Floquet factorizations and their miscellaneous variants are examined. In particular, reducibility/irreducibility, commutativity, and trace relationships among others are scrutinized. The results are significant for analysis and synthesis of FDLCP systems.