DocumentCode :
835588
Title :
The discrete Lyapunov equation in controllable canonical form
Author :
Ptak, Vlastimil
Author_Institution :
Czechoslovakia Academy of Sciences, Praha, Czechoslovakia
Volume :
26
Issue :
2
fYear :
1981
fDate :
4/1/1981 12:00:00 AM
Firstpage :
580
Lastpage :
581
Abstract :
A new method of treating Lyapunov equations is proposed. If 
and 
are two self-adjoint one-dimensional matrices related in a certain way, then 
if and only if 
. As an application, a generalization of a recent result is given. If 
is the vector 
, then the solution of 
is shown to be inverse of the Schur-Cohn matrix.
and are two self-adjoint one-dimensional matrices related in a certain way, then if and only if . As an application, a generalization of a recent result is given. If is the vector , then the solution of is shown to be inverse of the Schur-Cohn matrix.Keywords :
Lyapunov matrix equations; Equations; Feature extraction; Linear predictive coding; Parameter estimation; Polynomials; Speech processing; State estimation;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1981.1102644
Filename :
1102644
Link To Document :
