DocumentCode
3047690
Title
Jordan canonical forms for linear systems
Author
Pratzel-Wolters, D.
Author_Institution
Universit??t Bremen
fYear
1982
fDate
8-10 Dec. 1982
Firstpage
950
Lastpage
951
Abstract
This paper considers Jordan canonical forms for the similarity action of Gl(n, C) on arbitrary (not necessarily reachable) input-state pairs (A,B)??Cn??nxCn??m. A modified lexicographic order (??,Ck), k??N, is defined and the Jordan canonical pairs (JA, JB) are obtained as certain minimal parameter elements of the similarity orbits [(A,B)]s. For scalar systems (m=1) the canonical pairs (JA, Jb) are explicitely characterized solely in terms of the Jordan matrix JA and the column Jb itself.
Keywords
Eigenvalues and eigenfunctions; Linear systems; Orbits; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1982 21st IEEE Conference on
Conference_Location
Orlando, FL, USA
Type
conf
DOI
10.1109/CDC.1982.268285
Filename
4047388
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