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

^*此作品的通讯作者

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

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
文章编号	8931258
页（从-至）	5405-5413
页数	9
期刊	IEEE Transactions on Systems, Man, and Cybernetics: Systems
卷	51
期	9
DOI	https://doi.org/10.1109/TSMC.2019.2956484
出版状态	已出版 - 9月 2021
已对外发布	是

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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.",

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

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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

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Characteristic Modeling Approach for High-Order Linear Dynamical Systems

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