On model reduction of discrete time systems

B. D.O. Anderson; E. I. Jury; M. Mansour

doi:10.1016/0005-1098(86)90009-9

On model reduction of discrete time systems

B. D.O. Anderson^*, E. I. Jury, M. Mansour

^*Corresponding author for this work

The Australian National University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, further justification of model reduction by Badreddin-Mansour's method is presented. In particular, connections between polynomial root-location properties, coefficient properties and Schur-Cohn coefficient properties are established. Lattice realizations of a discrete system and its reduced model are given, which illustrate certain relationships between the original model and its reduced form. These relationships give insight into the validity of the method of reduction and offer insight on the order of approximation.

Original language	English
Pages (from-to)	717-721
Number of pages	5
Journal	Automatica
Volume	22
Issue number	6
DOIs	https://doi.org/10.1016/0005-1098(86)90009-9
Publication status	Published - Nov 1986

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title = "On model reduction of discrete time systems",

abstract = "In this paper, further justification of model reduction by Badreddin-Mansour's method is presented. In particular, connections between polynomial root-location properties, coefficient properties and Schur-Cohn coefficient properties are established. Lattice realizations of a discrete system and its reduced model are given, which illustrate certain relationships between the original model and its reduced form. These relationships give insight into the validity of the method of reduction and offer insight on the order of approximation.",

keywords = "discrete Schwartz form, lattice realization, model reduction, order approximation, root property, Stability",

author = "Anderson, {B. D.O.} and Jury, {E. I.} and M. Mansour",

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T1 - On model reduction of discrete time systems

AU - Anderson, B. D.O.

AU - Jury, E. I.

AU - Mansour, M.

PY - 1986/11

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N2 - In this paper, further justification of model reduction by Badreddin-Mansour's method is presented. In particular, connections between polynomial root-location properties, coefficient properties and Schur-Cohn coefficient properties are established. Lattice realizations of a discrete system and its reduced model are given, which illustrate certain relationships between the original model and its reduced form. These relationships give insight into the validity of the method of reduction and offer insight on the order of approximation.

AB - In this paper, further justification of model reduction by Badreddin-Mansour's method is presented. In particular, connections between polynomial root-location properties, coefficient properties and Schur-Cohn coefficient properties are established. Lattice realizations of a discrete system and its reduced model are given, which illustrate certain relationships between the original model and its reduced form. These relationships give insight into the validity of the method of reduction and offer insight on the order of approximation.

KW - discrete Schwartz form

KW - lattice realization

KW - model reduction

KW - order approximation

KW - root property

KW - Stability

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U2 - 10.1016/0005-1098(86)90009-9

DO - 10.1016/0005-1098(86)90009-9

M3 - Article

AN - SCOPUS:0022810690

SN - 0005-1098

VL - 22

SP - 717

EP - 721

JO - Automatica

JF - Automatica

IS - 6

ER -

On model reduction of discrete time systems

Abstract

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