AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a...

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Format: Article
Language:English
Published: University of Tehran 1991-12-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31447_aaf9fa521054e925b4a1c2ef0865eb26.pdf
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collection DOAJ
description The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis
format Article
id doaj-art-512b3b59be804155a8fee6e9cccfab2c
institution Kabale University
issn 1016-1104
2345-6914
language English
publishDate 1991-12-01
publisher University of Tehran
record_format Article
series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-512b3b59be804155a8fee6e9cccfab2c2025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141991-12-012231447AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMSThe purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axishttps://jsciences.ut.ac.ir/article_31447_aaf9fa521054e925b4a1c2ef0865eb26.pdf
spellingShingle AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
Journal of Sciences, Islamic Republic of Iran
title AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
title_full AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
title_fullStr AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
title_full_unstemmed AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
title_short AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
title_sort algorithm for finding the stability of linear time invariant systems
url https://jsciences.ut.ac.ir/article_31447_aaf9fa521054e925b4a1c2ef0865eb26.pdf