DocumentCode
843441
Title
A necessary and sufficient condition for feedback stabilization in a factorial ring
Author
Raman, Vijay R. ; Liu, R.
Author_Institution
University of Notre Dame, Notre Dame, IN, USA
Volume
29
Issue
10
fYear
1984
fDate
10/1/1984 12:00:00 AM
Firstpage
941
Lastpage
943
Abstract
The necessity for a coprime fractional representation of a plant, in order to completely parametrize all stabilizing compensators by the Youla theory, is examined. It is shown that the coprimeness is necessary for systems in a factorial ring, a class inclusive of multidimensional scalar systems. Some observations on partial-state transfer functions in the feedback configuration are found to be useful in showing the necessity.
Keywords
Rings (algebraic); Stability, linear systems; Feedback control; Hilbert space; Oscillators; Riccati equations; Stability; State feedback; Steady-state; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103395
Filename
1103395
Link To Document