Multivariable partial realization and the aspect of uniqueness

P. van den Hof; A. Damen; A. Hajdasinski

doi:10.1016/S1474-6670(17)60964-9

Multivariable partial realization and the aspect of uniqueness

P. van den Hof
, A. Damen
, A. Hajdasinski

Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This paper deals with the minimal partial realization problem for a multivariable power series of finite length. Specifically, the problem of the uniqueness of the extension sequence is considered and a fundamental criterion is given which is necessary and sufficient for the existence of a unique extension. A specific class of formal power series is introduced (finite generic sequences) for which the criterion mentioned above takes a very simple form. This class is of interest when considering the availability of a sequence of noise distributed Markov parameters of a multivariable system. Finally the approximate partial realization problem is defined.

Original language	English
Title of host publication	IFAC Proceedings Series
Place of Publication	London
Publisher	IFAC
Pages	175-180
Number of pages	6
ISBN (Print)	0080316670
DOIs	https://doi.org/10.1016/S1474-6670(17)60964-9
Publication status	Published - 1 Jan 1985
Event	9th World Congress of the International Federation of Aufomatic Control (IFAC 1984 World Congress) : A Bridge Between Control Science and Technology - Budapest, Hungary Duration: 2 Jul 1984 → 6 Jul 1984 Conference number: 9

Conference

Conference	9th World Congress of the International Federation of Aufomatic Control (IFAC 1984 World Congress)
Abbreviated title	IFAC 1984
Country/Territory	Hungary
City	Budapest
Period	2/07/84 → 6/07/84

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10.1016/S1474-6670(17)60964-9

Cite this

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title = "Multivariable partial realization and the aspect of uniqueness",

abstract = "This paper deals with the minimal partial realization problem for a multivariable power series of finite length. Specifically, the problem of the uniqueness of the extension sequence is considered and a fundamental criterion is given which is necessary and sufficient for the existence of a unique extension. A specific class of formal power series is introduced (finite generic sequences) for which the criterion mentioned above takes a very simple form. This class is of interest when considering the availability of a sequence of noise distributed Markov parameters of a multivariable system. Finally the approximate partial realization problem is defined.",

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AU - van den Hof, P.

AU - Damen, A.

AU - Hajdasinski, A.

N1 - Conference code: 9

PY - 1985/1/1

Y1 - 1985/1/1

N2 - This paper deals with the minimal partial realization problem for a multivariable power series of finite length. Specifically, the problem of the uniqueness of the extension sequence is considered and a fundamental criterion is given which is necessary and sufficient for the existence of a unique extension. A specific class of formal power series is introduced (finite generic sequences) for which the criterion mentioned above takes a very simple form. This class is of interest when considering the availability of a sequence of noise distributed Markov parameters of a multivariable system. Finally the approximate partial realization problem is defined.

AB - This paper deals with the minimal partial realization problem for a multivariable power series of finite length. Specifically, the problem of the uniqueness of the extension sequence is considered and a fundamental criterion is given which is necessary and sufficient for the existence of a unique extension. A specific class of formal power series is introduced (finite generic sequences) for which the criterion mentioned above takes a very simple form. This class is of interest when considering the availability of a sequence of noise distributed Markov parameters of a multivariable system. Finally the approximate partial realization problem is defined.

UR - https://www.scopus.com/pages/publications/0021980194

U2 - 10.1016/S1474-6670(17)60964-9

DO - 10.1016/S1474-6670(17)60964-9

M3 - Conference contribution

AN - SCOPUS:0021980194

SN - 0080316670

SP - 175

EP - 180

BT - IFAC Proceedings Series

PB - IFAC

CY - London

T2 - 9th World Congress of the International Federation of Aufomatic Control (IFAC 1984 World Congress)

Y2 - 2 July 1984 through 6 July 1984

ER -

Multivariable partial realization and the aspect of uniqueness

Abstract

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