On the dimensions of the supremal (A,B)-invariant and controllability subspaces

1 December 1980

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

Vol. 25 (6) , 1223-1225
https://doi.org/10.1109/tac.1980.1102520

Abstract

The dimensions of the supremal output-nulling ( A,B )- invariant and controllability subspaces of a system are explicitly determined. The role of the input and output decoupling zeros is also discussed.

Keywords

CONTROLLABILITY
CONTROL SYSTEMS
POLYNOMIALS
STATE-SPACE METHODS
KERNEL
STATE FEEDBACK
AUTOMATIC CONTROL
EQUATIONS

This publication has 3 references indexed in Scilit:

Maximal order reduction and supremal (A,B)-invariant and controllability subspaces
IEEE Transactions on Automatic Control, 1980
Control of Linear Systems through Specified Input Channels
SIAM Journal on Control and Optimization, 1976
On the Dimensions of Controllability Subspaces: A Characterization via Polynomial Matrices and Kronecker Invariants
SIAM Journal on Control, 1975