ℓ2-induced norm of discrete-time switched linear systems: Solutions and algorithms

Dawei Shi; Tongwen Chen

doi:10.1109/CDC.2012.6427117

ℓ₂-induced norm of discrete-time switched linear systems: Solutions and algorithms

Dawei Shi^*
, Tongwen Chen

^*此作品的通讯作者

University of Alberta

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

1 引用（Scopus）

摘要

The ℓ₂-induced norm evaluation problem in finite-horizon for switched linear systems is considered in this paper. The contribution of the work is two-fold. First, two complete solutions are provided for the finite-horizon problem. The first solution is obtained based on a time-varying system approach, while the second one tries to characterize the worst-case switching law for the general case, which is state dependent. Second, optimization problems are formulated to identify the set of possible worst-case switching laws, based on which efficient algorithms are derived to solve the finite-horizon ℓ₂-induced norm problem for general switched linear systems. The results obtained are demonstrated by a numerical example.

源语言	英语
主期刊名	51st IEEE Conference on Decision and Control, CDC 2012
出版商	Institute of Electrical and Electronics Engineers Inc.
页	725-730
页数	6
ISBN（电子版）	9781467320658
DOI	https://doi.org/10.1109/CDC.2012.6427117
出版状态	已出版 - 2012
已对外发布	是
活动	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, 美国期限: 10 12月 2012 → 13 12月 2012

丛书

姓名	Proceedings of the IEEE Conference on Decision and Control
ISSN（印刷版）	0743-1546
ISSN（电子版）	2576-2370

会议

会议	51st IEEE Conference on Decision and Control, CDC 2012
国家/地区	美国
市	Maui, HI
时期	10/12/12 → 13/12/12

访问文件

10.1109/CDC.2012.6427117

其它文件与链接

链接到 Scopus 的出版物

引用此

Shi, D., & Chen, T. (2012). ℓ₂-induced norm of discrete-time switched linear systems: Solutions and algorithms. 在 51st IEEE Conference on Decision and Control, CDC 2012 (页码 725-730). 期刊论文 6427117 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2012.6427117

@inproceedings{eb76abb357634d21b7171c7c3e1c7fbe,

title = "ℓ2-induced norm of discrete-time switched linear systems: Solutions and algorithms",

abstract = "The ℓ2-induced norm evaluation problem in finite-horizon for switched linear systems is considered in this paper. The contribution of the work is two-fold. First, two complete solutions are provided for the finite-horizon problem. The first solution is obtained based on a time-varying system approach, while the second one tries to characterize the worst-case switching law for the general case, which is state dependent. Second, optimization problems are formulated to identify the set of possible worst-case switching laws, based on which efficient algorithms are derived to solve the finite-horizon ℓ2-induced norm problem for general switched linear systems. The results obtained are demonstrated by a numerical example.",

author = "Dawei Shi and Tongwen Chen",

year = "2012",

doi = "10.1109/CDC.2012.6427117",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

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

pages = "725--730",

booktitle = "51st IEEE Conference on Decision and Control, CDC 2012",

address = "United States",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

}

Shi, D & Chen, T 2012, ℓ₂-induced norm of discrete-time switched linear systems: Solutions and algorithms. 在 51st IEEE Conference on Decision and Control, CDC 2012., 6427117, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., 页码 725-730, 51st IEEE Conference on Decision and Control, CDC 2012, Maui, HI, 美国, 10/12/12. https://doi.org/10.1109/CDC.2012.6427117

ℓ₂-induced norm of discrete-time switched linear systems: Solutions and algorithms. / Shi, Dawei; Chen, Tongwen.
51st IEEE Conference on Decision and Control, CDC 2012. Institute of Electrical and Electronics Engineers Inc., 2012. 页码 725-730 6427117 (Proceedings of the IEEE Conference on Decision and Control).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - ℓ2-induced norm of discrete-time switched linear systems

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

AU - Shi, Dawei

AU - Chen, Tongwen

PY - 2012

Y1 - 2012

N2 - The ℓ2-induced norm evaluation problem in finite-horizon for switched linear systems is considered in this paper. The contribution of the work is two-fold. First, two complete solutions are provided for the finite-horizon problem. The first solution is obtained based on a time-varying system approach, while the second one tries to characterize the worst-case switching law for the general case, which is state dependent. Second, optimization problems are formulated to identify the set of possible worst-case switching laws, based on which efficient algorithms are derived to solve the finite-horizon ℓ2-induced norm problem for general switched linear systems. The results obtained are demonstrated by a numerical example.

AB - The ℓ2-induced norm evaluation problem in finite-horizon for switched linear systems is considered in this paper. The contribution of the work is two-fold. First, two complete solutions are provided for the finite-horizon problem. The first solution is obtained based on a time-varying system approach, while the second one tries to characterize the worst-case switching law for the general case, which is state dependent. Second, optimization problems are formulated to identify the set of possible worst-case switching laws, based on which efficient algorithms are derived to solve the finite-horizon ℓ2-induced norm problem for general switched linear systems. The results obtained are demonstrated by a numerical example.

UR - https://www.scopus.com/pages/publications/84874267266

U2 - 10.1109/CDC.2012.6427117

DO - 10.1109/CDC.2012.6427117

M3 - Conference contribution

AN - SCOPUS:84874267266

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 725

EP - 730

BT - 51st IEEE Conference on Decision and Control, CDC 2012

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 10 December 2012 through 13 December 2012

ER -

ℓ2-induced norm of discrete-time switched linear systems: Solutions and algorithms

摘要

丛书

会议

访问文件

其它文件与链接

学术指纹

引用此

ℓ₂-induced norm of discrete-time switched linear systems: Solutions and algorithms