Controlability and observability of composite systems

1 August 1967

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

Vol. 12 (4) , 402-409
https://doi.org/10.1109/tac.1967.1098658

Abstract

This paper studies the controllability and observability of the parallel and the tandem connection of two linear time-invariant differential systems; it uses the Jordan form representation; it does not assume that the eigenvalues of each representation are simple nor that the two sets of the eigenvalues are disjoint. The controllability and observability of the composite representations require only testing the linear independence of some constant vectors. Some sufficient conditions require just the transfer function matrices.

Keywords

This publication has 5 references indexed in Scilit:

A direct constructive proof of the criterion for complete controllability of time-invariant linear systems
IEEE Transactions on Automatic Control, 1964
On the concepts of controllability and observability of linear systems
IEEE Transactions on Automatic Control, 1964
Controllability and Observability in Multivariable Control Systems
Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963
CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS
Proceedings of the National Academy of Sciences, 1962
On the general theory of control systems
IRE Transactions on Automatic Control, 1959