DocumentCode
2418260
Title
Hermite, Lienard-Chipart, Markov matrices and the controllability gramians
Author
Wu, Q.-H. ; Mansour, M.
Author_Institution
Autom. Control Lab., ETH-Zentrum, Zurich, Switzerland
fYear
1992
fDate
1992
Firstpage
191
Abstract
The computation of the controllability gramian associated with a real polynomial f (s ) is considered. It is shown that the inverses of the matrices arising in the Hermite, Lienard-Chipart and Markov criteria can be represented as the controllability gramian of 1/ f (s ). The corresponding state-space realizations are also established
Keywords
controllability; matrix algebra; polynomials; state-space methods; Hermite criteria; Lienard-Chipart criteria; Markov criteria; controllability gramians; inverses; real polynomial; state-space realizations; Automatic control; Controllability; Equations; Laboratories; Polynomials; Stability criteria; Symmetric matrices; Tellurium;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location
Tucson, AZ
Print_ISBN
0-7803-0872-7
Type
conf
DOI
10.1109/CDC.1992.371759
Filename
371759
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