DocumentCode :
1189917
Title :
Canonical forms and strictly positive real functions for discrete multivariable systems
Author :
Ahn, S.M.
Volume :
31
Issue :
11
fYear :
1984
fDate :
11/1/1984 12:00:00 AM
Firstpage :
982
Lastpage :
984
Abstract :
In this paper, we show that, for the discrete multivariable systems, the solution of the Lyapunov equation in the controllable canonical form transforms a companion matrix to another companion matrix. We also show that the first (last) 
columns of the inverse of this solution matrix, where the block size is 
, give the left (right) matrix fraction decomposition of a strictly positive real function.
columns of the inverse of this solution matrix, where the block size is , give the left (right) matrix fraction decomposition of a strictly positive real function.Keywords :
Discrete-time systems; Positive real functions; Control systems; Covariance matrix; Discrete transforms; Eigenvalues and eigenfunctions; Equations; MIMO; Matrix decomposition; Stability; Symmetric matrices; Time invariant systems;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1984.1085445
Filename :
1085445
Link To Document :
