Publication

Balanced Model Reduction for Linear Time-Varying Symmetric Systems

Kawano, Y. & Scherpen, J. M. A., Jul-2019, In : IEEE Transactions on Automatic Control. 64, 7, p. 3060-3067 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Kawano, Y., & Scherpen, J. M. A. (2019). Balanced Model Reduction for Linear Time-Varying Symmetric Systems. IEEE Transactions on Automatic Control, 64(7), 3060-3067. https://doi.org/10.1109/TAC.2018.2876383

Author

Kawano, Yu ; Scherpen, Jacquelien M. A. / Balanced Model Reduction for Linear Time-Varying Symmetric Systems. In: IEEE Transactions on Automatic Control. 2019 ; Vol. 64, No. 7. pp. 3060-3067.

Harvard

Kawano, Y & Scherpen, JMA 2019, 'Balanced Model Reduction for Linear Time-Varying Symmetric Systems', IEEE Transactions on Automatic Control, vol. 64, no. 7, pp. 3060-3067. https://doi.org/10.1109/TAC.2018.2876383

Standard

Balanced Model Reduction for Linear Time-Varying Symmetric Systems. / Kawano, Yu; Scherpen, Jacquelien M. A.

In: IEEE Transactions on Automatic Control, Vol. 64, No. 7, 07.2019, p. 3060-3067.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Kawano Y, Scherpen JMA. Balanced Model Reduction for Linear Time-Varying Symmetric Systems. IEEE Transactions on Automatic Control. 2019 Jul;64(7):3060-3067. https://doi.org/10.1109/TAC.2018.2876383


BibTeX

@article{52c799c5765449e1be8bb6e3af72371c,
title = "Balanced Model Reduction for Linear Time-Varying Symmetric Systems",
abstract = "The goal of this paper is to develop balancing theory for the linear time-varying (LTV) symmetric systems. To this end, first we extend the concept of symmetry in terms of the dual system. Then, we define the cross Gramian for the LTV systems. For LTV symmetric systems, we establish a connection among the controllability, observability, and cross Gramians. In particular, if one of these three Gramians is obtained, the other two Gramians can be constructed. Based on this fact, we show that the symmetry structure is preserved under balanced truncation if the Hankel singular values are pointwise distinct.",
keywords = "VARIABLE SYSTEMS, TRUNCATION, STABILITY",
author = "Yu Kawano and Scherpen, {Jacquelien M. A.}",
year = "2019",
month = "7",
doi = "10.1109/TAC.2018.2876383",
language = "English",
volume = "64",
pages = "3060--3067",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "7",

}

RIS

TY - JOUR

T1 - Balanced Model Reduction for Linear Time-Varying Symmetric Systems

AU - Kawano, Yu

AU - Scherpen, Jacquelien M. A.

PY - 2019/7

Y1 - 2019/7

N2 - The goal of this paper is to develop balancing theory for the linear time-varying (LTV) symmetric systems. To this end, first we extend the concept of symmetry in terms of the dual system. Then, we define the cross Gramian for the LTV systems. For LTV symmetric systems, we establish a connection among the controllability, observability, and cross Gramians. In particular, if one of these three Gramians is obtained, the other two Gramians can be constructed. Based on this fact, we show that the symmetry structure is preserved under balanced truncation if the Hankel singular values are pointwise distinct.

AB - The goal of this paper is to develop balancing theory for the linear time-varying (LTV) symmetric systems. To this end, first we extend the concept of symmetry in terms of the dual system. Then, we define the cross Gramian for the LTV systems. For LTV symmetric systems, we establish a connection among the controllability, observability, and cross Gramians. In particular, if one of these three Gramians is obtained, the other two Gramians can be constructed. Based on this fact, we show that the symmetry structure is preserved under balanced truncation if the Hankel singular values are pointwise distinct.

KW - VARIABLE SYSTEMS

KW - TRUNCATION

KW - STABILITY

U2 - 10.1109/TAC.2018.2876383

DO - 10.1109/TAC.2018.2876383

M3 - Article

VL - 64

SP - 3060

EP - 3067

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 7

ER -

ID: 66209707