Minimal solutions to transfer matrix equations

1 February 1976

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 21 (1) , 131-133
https://doi.org/10.1109/tac.1976.1101156

Abstract

It is shown that the problem of finding a solution T(lambda) , of least McMillan degree, to the transfer matrix equation T_{1}(lambda) = T_{2}(lambda)T(lambda) is in essence equivalent to the problem of finding an ( A,B )-invariant subspace of least dimension which contains a given subspace.

Keywords

EQUATIONS
MATRICES
STATE-SPACE METHODS
TELLURIUM
TRANSFER FUNCTIONS
TESTING
ERBIUM

This publication has 4 references indexed in Scilit:

A minimization algorithm for the design of linear multivariable systems
IEEE Transactions on Automatic Control, 1973
Feedback invariants of linear multivariable systems
Automatica, 1972
Output Controllability and System Synthesis
SIAM Journal on Control, 1971
The Theory of Matrices
Published by Springer Nature ,1933