Controllability of linear ensemble systems with constant drift and linear parameter variation

Lin Tie; Wei Zhang; Jr Shin Li

doi:10.1109/CCTA.2017.8062610

Controllability of linear ensemble systems with constant drift and linear parameter variation

Lin Tie, Wei Zhang, Jr Shin Li

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

Abstract

Control of population systems is an indispensable task in many cutting-edge applications from nuclear magnetic resonance spectroscopy and imaging to deep brain stimulation for treatment of neurological disorders. Characterizing the fundamental limit of the ability to control such large-scale systems is critical towards the understanding of their functionality and dynamical structures. In this paper, we study controllability of time-invariant linear ensemble systems whose natural and control dynamics form a linear variety of the system parameter. We derive explicit controllability conditions in terms of the rank of the system and control matrices, and show that ensemble controllability is highly dependent on the spectrum structure of the parameter-dependent system matrix.

Original language	English
Title of host publication	1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1129-1134
Number of pages	6
ISBN (Electronic)	9781509021826
DOIs	https://doi.org/10.1109/CCTA.2017.8062610
State	Published - Oct 6 2017
Event	1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 - Kohala Coast, United States Duration: Aug 27 2017 → Aug 30 2017

Publication series

Name	1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Volume	2017-January

Conference

Conference	1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Country/Territory	United States
City	Kohala Coast
Period	08/27/17 → 08/30/17

Access to Document

10.1109/CCTA.2017.8062610

Cite this

Tie, L., Zhang, W., & Li, J. S. (2017). Controllability of linear ensemble systems with constant drift and linear parameter variation. In 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 (pp. 1129-1134). (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017; Vol. 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCTA.2017.8062610

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title = "Controllability of linear ensemble systems with constant drift and linear parameter variation",

abstract = "Control of population systems is an indispensable task in many cutting-edge applications from nuclear magnetic resonance spectroscopy and imaging to deep brain stimulation for treatment of neurological disorders. Characterizing the fundamental limit of the ability to control such large-scale systems is critical towards the understanding of their functionality and dynamical structures. In this paper, we study controllability of time-invariant linear ensemble systems whose natural and control dynamics form a linear variety of the system parameter. We derive explicit controllability conditions in terms of the rank of the system and control matrices, and show that ensemble controllability is highly dependent on the spectrum structure of the parameter-dependent system matrix.",

author = "Lin Tie and Wei Zhang and Li, {Jr Shin}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 ; Conference date: 27-08-2017 Through 30-08-2017",

year = "2017",

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doi = "10.1109/CCTA.2017.8062610",

language = "English",

series = "1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017",

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Tie, L, Zhang, W & Li, JS 2017, Controllability of linear ensemble systems with constant drift and linear parameter variation. in 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 1129-1134, 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, Kohala Coast, United States, 08/27/17. https://doi.org/10.1109/CCTA.2017.8062610

Controllability of linear ensemble systems with constant drift and linear parameter variation. / Tie, Lin; Zhang, Wei; Li, Jr Shin.
1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1129-1134 (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017; Vol. 2017-January).

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

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PY - 2017/10/6

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N2 - Control of population systems is an indispensable task in many cutting-edge applications from nuclear magnetic resonance spectroscopy and imaging to deep brain stimulation for treatment of neurological disorders. Characterizing the fundamental limit of the ability to control such large-scale systems is critical towards the understanding of their functionality and dynamical structures. In this paper, we study controllability of time-invariant linear ensemble systems whose natural and control dynamics form a linear variety of the system parameter. We derive explicit controllability conditions in terms of the rank of the system and control matrices, and show that ensemble controllability is highly dependent on the spectrum structure of the parameter-dependent system matrix.

AB - Control of population systems is an indispensable task in many cutting-edge applications from nuclear magnetic resonance spectroscopy and imaging to deep brain stimulation for treatment of neurological disorders. Characterizing the fundamental limit of the ability to control such large-scale systems is critical towards the understanding of their functionality and dynamical structures. In this paper, we study controllability of time-invariant linear ensemble systems whose natural and control dynamics form a linear variety of the system parameter. We derive explicit controllability conditions in terms of the rank of the system and control matrices, and show that ensemble controllability is highly dependent on the spectrum structure of the parameter-dependent system matrix.

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Tie L, Zhang W, Li JS. Controllability of linear ensemble systems with constant drift and linear parameter variation. In 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1129-1134. (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017). doi: 10.1109/CCTA.2017.8062610

Controllability of linear ensemble systems with constant drift and linear parameter variation

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