Full Static Output Feedback Equivalence
We present a constructive solution to the problem of full output feedback equivalence, of linear, minimal, time-invariant systems. The equivalence relation on the set of systems is transformed to another on the set of invertible block Bezout/Hankel matrices using the isotropy subgroups of the full s...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/491709 |
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| _version_ | 1832551862121791488 |
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| author | Aristotle G. Yannakoudakis |
| author_facet | Aristotle G. Yannakoudakis |
| author_sort | Aristotle G. Yannakoudakis |
| collection | DOAJ |
| description | We present a constructive solution to the problem of full output feedback equivalence, of linear, minimal, time-invariant systems. The equivalence relation on the set of systems is transformed to another on the set of invertible block Bezout/Hankel matrices using the isotropy subgroups of the full state feedback group and the full output injection group. The transformation achieving equivalence is calculated solving linear systems of equations. We give a polynomial version of the results proving that two systems are full output feedback equivalent, if and only if they have the same family of generalized Bezoutians. We present a new set of output feedback invariant polynomials that generalize the breakaway polynomial of scalar systems. |
| format | Article |
| id | doaj-art-1fb4adf4730e4a30803fc998ec7a8d36 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-1fb4adf4730e4a30803fc998ec7a8d362025-02-03T06:00:08ZengWileyJournal of Control Science and Engineering1687-52491687-52572013-01-01201310.1155/2013/491709491709Full Static Output Feedback EquivalenceAristotle G. Yannakoudakis0Department of Electrical Engineering, Technological Educational Institute of Crete, Stavromenos Site, 71500 Iraklion, Crete, GreeceWe present a constructive solution to the problem of full output feedback equivalence, of linear, minimal, time-invariant systems. The equivalence relation on the set of systems is transformed to another on the set of invertible block Bezout/Hankel matrices using the isotropy subgroups of the full state feedback group and the full output injection group. The transformation achieving equivalence is calculated solving linear systems of equations. We give a polynomial version of the results proving that two systems are full output feedback equivalent, if and only if they have the same family of generalized Bezoutians. We present a new set of output feedback invariant polynomials that generalize the breakaway polynomial of scalar systems.http://dx.doi.org/10.1155/2013/491709 |
| spellingShingle | Aristotle G. Yannakoudakis Full Static Output Feedback Equivalence Journal of Control Science and Engineering |
| title | Full Static Output Feedback Equivalence |
| title_full | Full Static Output Feedback Equivalence |
| title_fullStr | Full Static Output Feedback Equivalence |
| title_full_unstemmed | Full Static Output Feedback Equivalence |
| title_short | Full Static Output Feedback Equivalence |
| title_sort | full static output feedback equivalence |
| url | http://dx.doi.org/10.1155/2013/491709 |
| work_keys_str_mv | AT aristotlegyannakoudakis fullstaticoutputfeedbackequivalence |