Formal adjoints of linear DAE operators and their role in optimal control

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OWP2011_15.pdf (201.88 KB)

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2011

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2011-15

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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https://doi.org/10.14760/OWP-2011-15

Abstract

For regular strangeness-free linear differential-algebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze the properties of the formal adjoints and their implications in solving linear-quadratic optimal control problems with DAE constraints.

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Keywords

Differential-algebraic equation, adjoint operator, adjoint pair, formal adjoint pair, optimal control, necessary optimality condition, formal necessary optimality condition

Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/2390
 https://oa.tib.eu/renate/handle/123456789/1698

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Mathematik
Oberwolfach Preprints (OWP)

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