@article{oai:nagoya.repo.nii.ac.jp:00012058, author = {Hayakawa, Yoshikazu and Jimbo, Tomohiko}, journal = {American Control Conference (ACC '09)}, month = {Jun}, note = {This paper considers discrete-time Floquet transformations, by which a discrete-time periodic linear system can be transformed to a time-invariant one. The previous researches have made clear when a discrete-time periodic system has its Floquet transformations and also it is known that the system has a lot of Floquet transformations if it has one. This paper defines three new similarities between two Floquet transformations, clarifies some relations among those similarities, and also makes clear how a set of all Floquet transformations can be split into a finite number of equivalence classes.}, pages = {3757--3763}, title = {On similarity classes of discrete-time Floquet transformations}, year = {2009} }