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2017 | OriginalPaper | Buchkapitel

Numerical Stability Test of Linear Time-Delay Systems of Neutral Type

verfasst von : Qi Xu, Gabor Stepan, Zaihua Wang

Erschienen in: Time Delay Systems

Verlag: Springer International Publishing

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Abstract

This paper begins with a brief discussion on the root location of linear time-delay systems of neutral type, to show its peculiar properties compared with time-delay systems of retarded type. Then it introduces a numerical stability test that can be carried out using a rough integral evaluation. The upper limit of the testing integral is estimated in two ways: parameter dependent or parameter independent. As an application of the testing method, the paper shows how to calculate the rightmost characteristic root(s) of a neutral delay differential equation with multiple delays.

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Vorheriges Kapitel A New Delay-Independent Stability Test for LTI Systems with Single Delay

Nächstes Kapitel Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems

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Titel: Numerical Stability Test of Linear Time-Delay Systems of Neutral Type
verfasst von: Qi Xu
Gabor Stepan
Zaihua Wang
Verlag: Springer International Publishing
Buch: Time Delay Systems
Print ISBN: 978-3-319-53425-1

Electronic ISBN: 978-3-319-53426-8

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-3-319-53426-8_6

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