Minimality of SISO linear systems

1 January 1982

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 70 (10) , 1241-1242
https://doi.org/10.1109/proc.1982.12460

Abstract

A new test for minimality of single-input single-output state-space realizations is proposed based on rank conditions of a cross-Gramian type matrix without computing the controllability and observability Gramian matrices.

Keywords

LINEAR SYSTEMS
OBSERVABILITY
CONTROLLABILITY
CONTROL SYSTEMS
EQUATIONS
SYSTEM TESTING
KALMAN FILTERS
CONTROL ENGINEERING
ASYMPTOTIC STABILITY

This publication has 3 references indexed in Scilit:

On the structure of balanced and other principal representations of SISO systems
IEEE Transactions on Automatic Control, 1983
A Hessenberg-Schur method for the problem AX + XB= C
IEEE Transactions on Automatic Control, 1979
Control of randomly varying linear dynamical systems
Proceedings of Symposia in Applied Mathematics, 1962