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
Link To Document :
