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Main Title: Formal adjoints of linear DAE operators and their role in optimal control
Author(s): Kunkel, Peter
Mehrmann, Volker
Type: Research Paper
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.
Subject(s): Differential-algebraic equation
adjoint operator
adjoint pair
formal adjoint pair
optimal control
necessary optimality condition
formal necessary optimality condition
Issue Date: 15-Apr-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93C10 Nonlinear systems
93C15 Systems governed by ordinary differential equations
93B52 Feedback control
65L80 Methods for differential-algebraic equations
49K15 Problems involving ordinary differential equations
34H05 Control problems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 10
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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