Model reduction via matrix pencil approach

Herbert W. Beke; Daniel L Boley

Model reduction via matrix pencil approach

Herbert W. Beke, Daniel L Boley

Computer Science and Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

In this paper, we present a novel way of model reduction based on matrix pencil theory. Using only orthogonal transformations on state space models, we construct an approximation to the smallest perturbation to the coefficients that yields a lower order system. We derive some bounds on the stability of the resulting lower order system. We illustrate our method with an example arising from large flexible space structures.

Original language	English (US)
Pages (from-to)	1891-1895
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
State	Published - Dec 1 1994
Event	Proceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA Duration: Jun 29 1994 → Jul 1 1994

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@article{02df1198812a438b98a8e33a2d5c3b19,

title = "Model reduction via matrix pencil approach",

abstract = "In this paper, we present a novel way of model reduction based on matrix pencil theory. Using only orthogonal transformations on state space models, we construct an approximation to the smallest perturbation to the coefficients that yields a lower order system. We derive some bounds on the stability of the resulting lower order system. We illustrate our method with an example arising from large flexible space structures.",

author = "Beke, {Herbert W.} and Boley, {Daniel L}",

year = "1994",

month = dec,

day = "1",

language = "English (US)",

volume = "2",

pages = "1891--1895",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1994 American Control Conference. Part 1 (of 3) ; Conference date: 29-06-1994 Through 01-07-1994",

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TY - JOUR

T1 - Model reduction via matrix pencil approach

AU - Beke, Herbert W.

AU - Boley, Daniel L

PY - 1994/12/1

Y1 - 1994/12/1

N2 - In this paper, we present a novel way of model reduction based on matrix pencil theory. Using only orthogonal transformations on state space models, we construct an approximation to the smallest perturbation to the coefficients that yields a lower order system. We derive some bounds on the stability of the resulting lower order system. We illustrate our method with an example arising from large flexible space structures.

AB - In this paper, we present a novel way of model reduction based on matrix pencil theory. Using only orthogonal transformations on state space models, we construct an approximation to the smallest perturbation to the coefficients that yields a lower order system. We derive some bounds on the stability of the resulting lower order system. We illustrate our method with an example arising from large flexible space structures.

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UR - http://www.scopus.com/inward/citedby.url?scp=0028572279&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0028572279

SN - 0743-1619

VL - 2

SP - 1891

EP - 1895

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1994 American Control Conference. Part 1 (of 3)

Y2 - 29 June 1994 through 1 July 1994

ER -

Model reduction via matrix pencil approach

Abstract

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