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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Format: | Article |
Language: | English |
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Norwegian Society of Automatic Control
1992-01-01
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Series: | Modeling, Identification and Control |
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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. |
first_indexed | 2024-12-21T20:14:51Z |
format | Article |
id | doaj.art-c44d6484f19343ada9b4947dfbbb341f |
institution | Directory Open Access Journal |
issn | 0332-7353 1890-1328 |
language | English |
last_indexed | 2024-12-21T20:14:51Z |
publishDate | 1992-01-01 |
publisher | Norwegian Society of Automatic Control |
record_format | Article |
series | Modeling, Identification and Control |
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 |