On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks

Shen Zeng

doi:10.1109/CDC.2018.8619090

On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks

Shen Zeng

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In this paper, we point out and study a connection between the recently flourishing consideration of Koopman operators and classical systems theoretic concepts such as aggregation and observability decompositions of nonlinear systems. The exploration of this newly unveiled cross-connection promotes a cross-fertilization of different methodologies and ideas intrinsic to the two different frameworks, resulting in a deeper understanding of both domains. In particular, the insights established in the paper connect intuitive systems theoretic viewpoints with the framework of Koopman operators.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6422-6427
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619090
State	Published - Jul 2 2018
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: Dec 17 2018 → Dec 19 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	12/17/18 → 12/19/18

Access to Document

10.1109/CDC.2018.8619090

Cite this

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title = "On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks",

abstract = "In this paper, we point out and study a connection between the recently flourishing consideration of Koopman operators and classical systems theoretic concepts such as aggregation and observability decompositions of nonlinear systems. The exploration of this newly unveiled cross-connection promotes a cross-fertilization of different methodologies and ideas intrinsic to the two different frameworks, resulting in a deeper understanding of both domains. In particular, the insights established in the paper connect intuitive systems theoretic viewpoints with the framework of Koopman operators.",

author = "Shen Zeng",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

year = "2018",

month = jul,

day = "2",

doi = "10.1109/CDC.2018.8619090",

language = "English",

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

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

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Zeng, S 2018, On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619090, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 6422-6427, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619090

On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks. / Zeng, Shen.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 6422-6427 8619090 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In this paper, we point out and study a connection between the recently flourishing consideration of Koopman operators and classical systems theoretic concepts such as aggregation and observability decompositions of nonlinear systems. The exploration of this newly unveiled cross-connection promotes a cross-fertilization of different methodologies and ideas intrinsic to the two different frameworks, resulting in a deeper understanding of both domains. In particular, the insights established in the paper connect intuitive systems theoretic viewpoints with the framework of Koopman operators.

AB - In this paper, we point out and study a connection between the recently flourishing consideration of Koopman operators and classical systems theoretic concepts such as aggregation and observability decompositions of nonlinear systems. The exploration of this newly unveiled cross-connection promotes a cross-fertilization of different methodologies and ideas intrinsic to the two different frameworks, resulting in a deeper understanding of both domains. In particular, the insights established in the paper connect intuitive systems theoretic viewpoints with the framework of Koopman operators.

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T2 - 57th IEEE Conference on Decision and Control, CDC 2018

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ER -

On Systems Theoretic Aspects of Koopman Operator Theoretic Frameworks

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