On the location of LQ-optimal closed-loop poles

Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary axis, and that the imaginary parts of these e...

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Bibliographic Details
Main Author: David Di Ruscio
Format: Article
Language:English
Published: Norwegian Society of Automatic Control 1992-01-01
Series:Modeling, Identification and Control
Subjects:
Online Access:http://www.mic-journal.no/PDF/1992/MIC-1992-1-2.pdf
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author David Di Ruscio
author_facet David Di Ruscio
author_sort David Di Ruscio
collection DOAJ
description Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis.
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spelling doaj.art-c44d6484f19343ada9b4947dfbbb341f2022-12-21T18:51:39ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13281992-01-01131152310.4173/mic.1992.1.2On the location of LQ-optimal closed-loop polesDavid Di RuscioInequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis.http://www.mic-journal.no/PDF/1992/MIC-1992-1-2.pdfLinear optimal controleigenvaluesinequalities
spellingShingle David Di Ruscio
On the location of LQ-optimal closed-loop poles
Modeling, Identification and Control
Linear optimal control
eigenvalues
inequalities
title On the location of LQ-optimal closed-loop poles
title_full On the location of LQ-optimal closed-loop poles
title_fullStr On the location of LQ-optimal closed-loop poles
title_full_unstemmed On the location of LQ-optimal closed-loop poles
title_short On the location of LQ-optimal closed-loop poles
title_sort on the location of lq optimal closed loop poles
topic Linear optimal control
eigenvalues
inequalities
url http://www.mic-journal.no/PDF/1992/MIC-1992-1-2.pdf
work_keys_str_mv AT daviddiruscio onthelocationoflqoptimalclosedlooppoles