Well-posedness and conservativity for linear control systems (part 1)

Rainer Picard; Sascha Trostorff; Marcus Waurick

doi:10.1002/pamm.201210377

Well-posedness and conservativity for linear control systems (part 1)

Rainer Picard, Sascha Trostorff, Marcus Waurick

Mathematics And Statistics

Research output: Contribution to journal › Conference Contribution › peer-review

Abstract

We discuss a class of linear control systems in a Hilbert space setting. The aim is to show that these control systems fit in a particular class of evolutionary equations such that the discussion of well-posedness becomes easily accessible. We exemplify our findings by a system with unbounded control and observation operator.

Original language	English
Pages (from-to)	777-778
Number of pages	2
Journal	Proceedings in Applied Mathematics and Mechanics, PAMM
Volume	12
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201210377
Publication status	Published - 3 Dec 2012
Event	83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics - Darmstadt, Germany Duration: 26 Mar 2012 → 30 Mar 2012 Conference number: 2012

Keywords

linear control systems
Hilbert space
control systems

Access to Document

10.1002/pamm.201210377

http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061

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abstract = "We discuss a class of linear control systems in a Hilbert space setting. The aim is to show that these control systems fit in a particular class of evolutionary equations such that the discussion of well-posedness becomes easily accessible. We exemplify our findings by a system with unbounded control and observation operator.",

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AU - Picard, Rainer

AU - Trostorff, Sascha

AU - Waurick, Marcus

N1 - Conference code: 2012

PY - 2012/12/3

Y1 - 2012/12/3

N2 - We discuss a class of linear control systems in a Hilbert space setting. The aim is to show that these control systems fit in a particular class of evolutionary equations such that the discussion of well-posedness becomes easily accessible. We exemplify our findings by a system with unbounded control and observation operator.

AB - We discuss a class of linear control systems in a Hilbert space setting. The aim is to show that these control systems fit in a particular class of evolutionary equations such that the discussion of well-posedness becomes easily accessible. We exemplify our findings by a system with unbounded control and observation operator.

KW - linear control systems

KW - Hilbert space

KW - control systems

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061

U2 - 10.1002/pamm.201210377

DO - 10.1002/pamm.201210377

M3 - Conference Contribution

VL - 12

SP - 777

EP - 778

JO - Proceedings in Applied Mathematics and Mechanics, PAMM

JF - Proceedings in Applied Mathematics and Mechanics, PAMM

SN - 1617-7061

IS - 1

T2 - 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics

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