The set of all minimal partial realizations

Author

Zazworsky, Raymond M. ; Jensen, David ; Baker, William P.

Author_Institution

United States Air Force Academy, Colorado Springs, CO, USA

Volume

Issue

fYear

1979

fDate

12/1/1979 12:00:00 AM

Firstpage

966

Lastpage

970

Abstract

This paper is concerned with the uniqueness of minimal partial realizations. Earlier papers are typically concerned with the problem of the existence and the determination of a matrix triple $(\\tilde{A},\\tilde{B},\\tilde{C})$ which is a minimal partial realization of a sequence ${Y_{1},...,Y_{m}}$ of Markov parameters. In this paper a parameterized realization $(A(y),B, C)$ ( $y$ is a parameter vector) is defined which characterizes the set of all minimal partial realizations of the sequence ${ Y_{1},. . . , Y_{m}}$ . An example is provided and the utility of the parameterization is discussed.

Keywords

Linear time-invariant (LTI) systems; Minimal realizations; Automatic control; Control systems; Controllability; Eigenvalues and eigenfunctions; Indium tin oxide; Interconnected systems; Laboratories; Linear systems; Mathematics; Springs;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1979.1102194

Filename

1102194

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=830979