On similarity classes of discrete-time floquet transformations

Authors:
Yoshikazu Hayakawa;Tomohiko Jimbo
Affiliations:
Department of Mechanical Science and Engineering, Nagoya University, Japan and Riken, RTC;Toyota Central R&D Labs., Inc., Japan
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 2
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Topics in matrix analysis

Topics in matrix analysis
Periodic input estimation for linear periodic systems: Automotive engine applications

Automatica (Journal of IFAC)

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Abstract

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.