Floquet factorization algorithms in linear continuous-time periodic systems

This paper first collects basic facts about various matrix logarithm algorithms suggested in the literature, based on which some existing Floquet factorization algorithms for the state transition matrices of finite-dimensional linear continuous-time periodic (FDLCP) systems are revisited carefully. Especially, we concentrate our attention on definitions of matrix logarithms, and their numeric computation formulas are stated in a way so that Floquet factorizations algorithms of FDLCP system can be implemetable accordingly. This paper may also serve as a short survey about the well known Floquet theorem.