Characteristic Modeling Approach for High-Order Linear Dynamical Systems

Lei Chen; Xinghuo Yu; Changyin Sun

doi:10.1109/TSMC.2019.2956484

Characteristic Modeling Approach for High-Order Linear Dynamical Systems

Lei Chen^*
, Xinghuo Yu
, Changyin Sun

^*Corresponding author for this work

Beihang University
Royal Melbourne Institute of Technology University
Southeast University, Nanjing

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

6 Citations (Scopus)

Abstract

This article presents a full mathematical proof of the characteristic modeling approach for high-order linear dynamical systems. It explores the nature of the characteristic model in rigorous mathematical forms, also showing why and how the high-order dynamics can be compressed into the lower-order characteristic model. The relationships between high-order linear continuous dynamical systems, discrete-time characteristic model coefficients, and sampling-time intervals are investigated.

Original language	English
Article number	8931258
Pages (from-to)	5405-5413
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	51
Issue number	9
DOIs	https://doi.org/10.1109/TSMC.2019.2956484
Publication status	Published - Sept 2021
Externally published	Yes

Keywords

Compression
linear systems
mathematical modeling
order-reduction

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10.1109/TSMC.2019.2956484

Cite this

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title = "Characteristic Modeling Approach for High-Order Linear Dynamical Systems",

abstract = "This article presents a full mathematical proof of the characteristic modeling approach for high-order linear dynamical systems. It explores the nature of the characteristic model in rigorous mathematical forms, also showing why and how the high-order dynamics can be compressed into the lower-order characteristic model. The relationships between high-order linear continuous dynamical systems, discrete-time characteristic model coefficients, and sampling-time intervals are investigated.",

keywords = "Compression, linear systems, mathematical modeling, order-reduction",

author = "Lei Chen and Xinghuo Yu and Changyin Sun",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

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AU - Sun, Changyin

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AB - This article presents a full mathematical proof of the characteristic modeling approach for high-order linear dynamical systems. It explores the nature of the characteristic model in rigorous mathematical forms, also showing why and how the high-order dynamics can be compressed into the lower-order characteristic model. The relationships between high-order linear continuous dynamical systems, discrete-time characteristic model coefficients, and sampling-time intervals are investigated.

KW - Compression

KW - linear systems

KW - mathematical modeling

KW - order-reduction

UR - https://www.scopus.com/pages/publications/85113200050

U2 - 10.1109/TSMC.2019.2956484

DO - 10.1109/TSMC.2019.2956484

M3 - Article

AN - SCOPUS:85113200050

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JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

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ER -

Characteristic Modeling Approach for High-Order Linear Dynamical Systems

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Keywords

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