ε -Embedding Model Reduction Method for Time-Delay Differential Algebra Systems

Zhi Yong Qiu; Yao Lin Jiang

doi:10.1007/s00034-020-01426-6

ε -Embedding Model Reduction Method for Time-Delay Differential Algebra Systems

Zhi Yong Qiu
, Yao Lin Jiang

School of Mathematics and Statistics

Xi'an Jiaotong University

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

3 Scopus citations

Abstract

A new model order reduction (MOR) method for large-scale time-delay differential algebra systems is proposed herein. The presented MOR algorithm is based on parametric moment matching and ε-embedding. By selecting an appropriate projection matrix, this process generates reduced-order models that preserve the structure of the original time-delay differential algebra system. Additionally, moment-matching results and error estimations are provided. Finally, two numerical circuits are tested to illustrate the effectiveness of the proposed MOR method.

Original language	English
Pages (from-to)	5390-5405
Number of pages	16
Journal	Circuits, Systems, and Signal Processing
Volume	39
Issue number	11
DOIs	https://doi.org/10.1007/s00034-020-01426-6
State	Published - 1 Nov 2020

Keywords

Model order reduction
Parametric moment matching
Structure-preserving
Time-delay circuit systems

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10.1007/s00034-020-01426-6

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abstract = "A new model order reduction (MOR) method for large-scale time-delay differential algebra systems is proposed herein. The presented MOR algorithm is based on parametric moment matching and ε-embedding. By selecting an appropriate projection matrix, this process generates reduced-order models that preserve the structure of the original time-delay differential algebra system. Additionally, moment-matching results and error estimations are provided. Finally, two numerical circuits are tested to illustrate the effectiveness of the proposed MOR method.",

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author = "Qiu, \{Zhi Yong\} and Jiang, \{Yao Lin\}",

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AU - Qiu, Zhi Yong

AU - Jiang, Yao Lin

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N2 - A new model order reduction (MOR) method for large-scale time-delay differential algebra systems is proposed herein. The presented MOR algorithm is based on parametric moment matching and ε-embedding. By selecting an appropriate projection matrix, this process generates reduced-order models that preserve the structure of the original time-delay differential algebra system. Additionally, moment-matching results and error estimations are provided. Finally, two numerical circuits are tested to illustrate the effectiveness of the proposed MOR method.

AB - A new model order reduction (MOR) method for large-scale time-delay differential algebra systems is proposed herein. The presented MOR algorithm is based on parametric moment matching and ε-embedding. By selecting an appropriate projection matrix, this process generates reduced-order models that preserve the structure of the original time-delay differential algebra system. Additionally, moment-matching results and error estimations are provided. Finally, two numerical circuits are tested to illustrate the effectiveness of the proposed MOR method.

KW - Model order reduction

KW - Parametric moment matching

KW - Structure-preserving

KW - Time-delay circuit systems

UR - https://www.scopus.com/pages/publications/85084421675

U2 - 10.1007/s00034-020-01426-6

DO - 10.1007/s00034-020-01426-6

M3 - 文章

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JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

IS - 11

ER -

ε -Embedding Model Reduction Method for Time-Delay Differential Algebra Systems

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Keywords

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