Linear systems with quadratic outputs

Jan Maximilian Montenbruck; Shen Zeng; Frank Allgower

doi:10.23919/ACC.2017.7963088

Linear systems with quadratic outputs

Jan Maximilian Montenbruck, Shen Zeng, Frank Allgower

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

5 Scopus citations

Abstract

We study linear systems with quadratic outputs. Our goal is to analyze and control the evolution of such quadratic outputs under a given linear control system. In this spirit, we first attempt to find a differential equation governing the evolution of the outputs in order to consequently be able to control this evolution. We derive tangible algebraic conditions for being able to find such a differential equation and explicitly determine controls which bilinearize that differential equation.

Original language	English
Title of host publication	2017 American Control Conference, ACC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1030-1034
Number of pages	5
ISBN (Electronic)	9781509059928
DOIs	https://doi.org/10.23919/ACC.2017.7963088
State	Published - Jun 29 2017
Event	2017 American Control Conference, ACC 2017 - Seattle, United States Duration: May 24 2017 → May 26 2017

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2017 American Control Conference, ACC 2017
Country/Territory	United States
City	Seattle
Period	05/24/17 → 05/26/17

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10.23919/ACC.2017.7963088

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title = "Linear systems with quadratic outputs",

abstract = "We study linear systems with quadratic outputs. Our goal is to analyze and control the evolution of such quadratic outputs under a given linear control system. In this spirit, we first attempt to find a differential equation governing the evolution of the outputs in order to consequently be able to control this evolution. We derive tangible algebraic conditions for being able to find such a differential equation and explicitly determine controls which bilinearize that differential equation.",

author = "Montenbruck, {Jan Maximilian} and Shen Zeng and Frank Allgower",

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doi = "10.23919/ACC.2017.7963088",

language = "English",

series = "Proceedings of the American Control Conference",

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Montenbruck, JM, Zeng, S & Allgower, F 2017, Linear systems with quadratic outputs. in 2017 American Control Conference, ACC 2017., 7963088, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 1030-1034, 2017 American Control Conference, ACC 2017, Seattle, United States, 05/24/17. https://doi.org/10.23919/ACC.2017.7963088

Linear systems with quadratic outputs. / Montenbruck, Jan Maximilian; Zeng, Shen; Allgower, Frank.
2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1030-1034 7963088 (Proceedings of the American Control Conference).

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

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AU - Zeng, Shen

AU - Allgower, Frank

PY - 2017/6/29

Y1 - 2017/6/29

N2 - We study linear systems with quadratic outputs. Our goal is to analyze and control the evolution of such quadratic outputs under a given linear control system. In this spirit, we first attempt to find a differential equation governing the evolution of the outputs in order to consequently be able to control this evolution. We derive tangible algebraic conditions for being able to find such a differential equation and explicitly determine controls which bilinearize that differential equation.

AB - We study linear systems with quadratic outputs. Our goal is to analyze and control the evolution of such quadratic outputs under a given linear control system. In this spirit, we first attempt to find a differential equation governing the evolution of the outputs in order to consequently be able to control this evolution. We derive tangible algebraic conditions for being able to find such a differential equation and explicitly determine controls which bilinearize that differential equation.

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M3 - Conference contribution

AN - SCOPUS:85027042277

T3 - Proceedings of the American Control Conference

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PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 American Control Conference, ACC 2017

Y2 - 24 May 2017 through 26 May 2017

ER -

Linear systems with quadratic outputs

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