Geodesic
Formal adjoints of linear DAE operators and their role in optimal control
The electronic journal of linear algebra, Tome 22 (2011), pp. 672-693.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 93C10, 93C15, 93B52, 65L80, 49K15, 34H05
Keywords: differential-algebraic equation, adjoint operator, adjoint pair, formal adjoint pair, optimal control, necessary optimality condition, formal necessary optimality condition 
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     author = {Kunkel, Peter and Mehrmann, Volker},
     title = {Formal adjoints of linear {DAE} operators and their role in optimal control},
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Kunkel, Peter; Mehrmann, Volker. Formal adjoints of linear DAE operators and their role in optimal control. The electronic journal of linear algebra, Tome 22 (2011), pp. 672-693. http://geodesic.mathdoc.fr/item/ELA_2011__22__a33/