DocumentCode
2109961
Title
Controllability indices and Wedderburn-Forney spaces
Author
Giust, S.J. ; Rakowski, M. ; Wyman, B.F. ; Schrader, C.B.
Author_Institution
Dept. of Math., Ohio State Univ., Columbus, OH, USA
fYear
1993
fDate
15-17 Dec 1993
Firstpage
2862
Abstract
The controllability indices of a state-input pair coincide with the minimal indices of the rational nullspace of an appropriate controllability pencil. In fact, this numerical result (well-known in other contexts) reflects the fact that the Wedderburn-Forney space of the kernel of a controllability pencil is isomorphic for a filtered vector space with the controllability subspace
Keywords
controllability; filtering and prediction theory; performance index; polynomials; Wedderburn-Forney spaces; controllability indices; controllability pencil; controllability subspace; filtered vector space; isomorphism; rational space; state-input pair; Controllability; Eigenvalues and eigenfunctions; Filtration; IEEE news; Kalman filters; Mathematics; Polynomials; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location
San Antonio, TX
Print_ISBN
0-7803-1298-8
Type
conf
DOI
10.1109/CDC.1993.325717
Filename
325717
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