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

Rainer Picard, Sascha Trostorff, Marcus Waurick

Research output: Contribution to journalConference Contribution

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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Linear control systems
Linear Control Systems
Hilbert spaces
Well-posedness
Control systems
Hilbert space
Control System
Operator
Class
Observation

Keywords

  • linear control systems
  • Hilbert space
  • control systems

Cite this

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title = "Well-posedness and conservativity for linear control systems (part 1)",
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.",
keywords = "linear control systems, Hilbert space, control systems",
author = "Rainer Picard and Sascha Trostorff and Marcus Waurick",
year = "2012",
month = "12",
day = "3",
doi = "10.1002/pamm.201210377",
language = "English",
volume = "12",
pages = "777--778",
journal = "Proceedings in Applied Mathematics and Mechanics, PAMM",
issn = "1617-7061",
number = "1",

}

Well-posedness and conservativity for linear control systems (part 1). / Picard, Rainer; Trostorff, Sascha; Waurick, Marcus.

In: Proceedings in Applied Mathematics and Mechanics, PAMM, Vol. 12, No. 1, 03.12.2012, p. 777-778.

Research output: Contribution to journalConference Contribution

TY - JOUR

T1 - Well-posedness and conservativity for linear control systems (part 1)

AU - Picard, Rainer

AU - Trostorff, Sascha

AU - Waurick, Marcus

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

T2 - Proceedings in Applied Mathematics and Mechanics, PAMM

JF - Proceedings in Applied Mathematics and Mechanics, PAMM

SN - 1617-7061

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ER -