On the fundamental theorem of linear state variable feedback

1 October 1974

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

Vol. 19 (5) , 577-579
https://doi.org/10.1109/tac.1974.1100639

Abstract

The important theorem due to Rosenbrock, concerning the limits of linear state variable feedback in modifying the dynamics of constant linear multivariable systems, is obtained from state space considerations. This approach illuminates the results which were originally obtained by polynomial system matrix methods.

Keywords

STATE FEEDBACK
STATE-SPACE METHODS
LINEAR SYSTEMS
MIMO
POLYNOMIALS
KALMAN FILTERS
CONTROLLABILITY
VECTORS

This publication has 3 references indexed in Scilit:

Invariant Description of Linear, Time-Invariant Controllable Systems
SIAM Journal on Control, 1972
Feedback invariants of linear multivariable systems
Automatica, 1972
Canonical forms for linear multivariable systems
IEEE Transactions on Automatic Control, 1967