DocumentCode
813383
Title
Inner algorithm test for controllability and observability
Author
Jury, E.I.
Author_Institution
University of California, Berkeley, CA, USA
Volume
18
Issue
6
fYear
1973
fDate
12/1/1973 12:00:00 AM
Firstpage
682
Lastpage
683
Abstract
In this note it is shown how the double triangularization algorithm developed for computing inners determinants can be adapted to test the controllability matrix ( 
) and observability matrix ( 
) to have rank of " 
." The controllability and observability conditions are shown to be equivalent to 
) and 
innerwise matrices to be nonsingular (i.e., to have a rank n2).
) and observability matrix ( ) to have rank of " ." The controllability and observability conditions are shown to be equivalent to ) and innerwise matrices to be nonsingular (i.e., to have a rank n2).Keywords
Controllability; Determinants; Linear time-invariant (LTI) systems; Observability; Argon; Control systems; Controllability; Feedback; Heuristic algorithms; Linear systems; Observability; System testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1973.1100436
Filename
1100436
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