The Floquet–Lyapunov Decomposition and Its Application

Efim N. Rosenwasser (), Torsten Jeinsch and Wolfgang Drewelow
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Efim N. Rosenwasser: Marine Technical University St. Petersburg, Department of Ship Automation
Torsten Jeinsch: Universität Rostock, Lehrstuhl Regelungstechnik
Wolfgang Drewelow: Universität Rostock, Lehrstuhl Regelungstechnik

Chapter Chapter 4 in Sampled-Data Control for Periodic Objects, 2022, pp 51-60 from Springer

Abstract: Abstract In this chapter, the concept of the Floquet–Lyapunov transformationFloquet–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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-01956-2_4

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DOI: 10.1007/978-3-031-01956-2_4

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