DocumentCode
823249
Title
Matrices satisfying Siljak´s conjecture
Author
Datta, B.N.
Author_Institution
State University of Campinas, Campinas, Brazil
Volume
22
Issue
1
fYear
1977
fDate
2/1/1977 12:00:00 AM
Firstpage
132
Lastpage
133
Abstract
Siljak\´s conjecture on the existence of a symmetric positive definite matrix 
having a specified structure and satisfying matrix equation 
, is shown to be true in cases when 
is a companion matrix of a polynomial, is a Schwarz matrix and is a nonderogatory matrix in its Routh-canonical form, by actually constructing the matrix in each case.
having a specified structure and satisfying matrix equation , is shown to be true in cases when is a companion matrix of a polynomial, is a Schwarz matrix and is a nonderogatory matrix in its Routh-canonical form, by actually constructing the matrix in each case.Keywords
Lyapunov matrix equations; Control systems; Equations; Feedback; Kalman filters; Linear systems; MIMO; Mathematics; Polynomials; Statistics; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1977.1101420
Filename
1101420
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