DocumentCode
1006689
Title
Kalman decomposition for implicit linear systems
Author
Banaszuk, A. ; Kociecki, M. ; Lewis, F.L.
Author_Institution
Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA
Volume
37
Issue
10
fYear
1992
fDate
10/1/1992 12:00:00 AM
Firstpage
1509
Lastpage
1514
Abstract
The Kalman decomposition for a general class of implicit systems is introduced and studied. The properties of strong reachability, observability, acceptance of all inputs and outer sequences, output-uniqueness, uniqueness, and trajectory observability of the original system are related to the properties of its subsystems obtained via the Kalman decomposition. The problems of transfer relation, regularizability by feedback, output feedback, and output injection are studied by means of this decomposition
Keywords
control system analysis; controllability; linear systems; observability; Kalman decomposition; implicit linear systems; input acceptance; observability; output feedback; output injection; output sequence acceptance; output-uniqueness; regularizability; strong reachability; trajectory observability; transfer relation; Circuit theory; Equations; Kalman filters; Linear systems; Neurofeedback; Observability; Output feedback; Power system economics; Power system modeling; Robotics and automation;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.256370
Filename
256370
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