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Discrete Operational Transformations of Continuous Argument Functions and Operator Description of Linear Time-Invariant Systems Read chapter Read first chapter

2022 | OriginalPaper | Chapter

4. The Floquet–Lyapunov Decomposition and Its Application

Authors : Efim N. Rosenwasser, Torsten Jeinsch, Wolfgang Drewelow

Published in: Sampled-Data Control for Periodic Objects

Publisher: Springer International Publishing

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Abstract

In this chapter, the concept of the Floquet–Lyapunov transformation is introduced, and based on this, the Floquet–Lyapunov decomposition is developed. The Floquet–Lyapunov decomposition, which is systematically used in the following, maps the structure of a multidimensional FDLCP object as a series connection of inertia-free periodic gain blocks and an LTI object.

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previous chapter The Frequency Method in the Theory of Periodic Objects
next chapter Open-Loop Sampled-Data System with Periodic Object
Metadata
Title
The Floquet–Lyapunov Decomposition and Its Application
Authors
Efim N. Rosenwasser
Torsten Jeinsch
Wolfgang Drewelow
Copyright Year
2022
Book
Sampled-Data Control for Periodic Objects

Print ISBN: 978-3-031-01955-5

Electronic ISBN: 978-3-031-01956-2

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-031-01956-2_4