NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Necessary and sufficient conditions for the complete controllability and observability of systems in series using the coprime factorization of a rational matrixThe series connection of two linear time-invariant systems that have minimal state space system descriptions is considered. From these descriptions, strict-system-equivalent polynomial matrix system descriptions in the manner of Rosenbrock are derived. They are based on the factorization of the transfer matrix of the subsystems as a ratio of two right or left coprime polynomial matrices. They give rise to a simple polynomial matrix system description of the tandem connection. Theorem 1 states that for the complete controllability and observability of the state space system description of the series connection, it is necessary and sufficient that certain 'denominator' and 'numerator' groups are coprime. Consequences for feedback systems are drawn in Corollary 1. The role of pole-zero cancellations is explained by Lemma 3 and Corollaires 2 and 3.
Document ID
19750037458
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Callier, F. M.
(Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium)
Nahum, C. D.
Date Acquired
August 8, 2013
Publication Date
February 1, 1975
Publication Information
Publication: IEEE Transactions on Circuits and Systems
Volume: CAS-22
Subject Category
Systems Analysis
Accession Number
75A21530
Funding Number(s)
CONTRACT_GRANT: NGL-05-003-016
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available