Mechanical Normal Form of First Order State-Space Systems

In this work a state transformation is presented that transforms a given state-space system to a normal form related to mechanical systems. The underlying state-space system must meet certain requirements such that a transformation exist. If the requirements are satisfied one obtains second order di...

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Bibliographic Details
Published in:arXiv.org 2021-09
Main Authors: Mayet Johannes, Kammermeier, Benjamin
Format: Article
Language:English
Subjects:
Algorithms
Canonical forms
Differential equations
Mechanical systems
Online Access:Get full text
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Summary:In this work a state transformation is presented that transforms a given state-space system to a normal form related to mechanical systems. The underlying state-space system must meet certain requirements such that a transformation exist. If the requirements are satisfied one obtains second order differential equations which allow the application of customized and specialized algorithms.
ISSN:2331-8422