Turnpike properties of approximate solutions of autonomous variational problems
Alexander Zaslavski (2008)
Control and Cybernetics
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Alexander Zaslavski (2008)
Control and Cybernetics
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F. Mignot, J. P. Puel (1985)
Banach Center Publications
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Zaslavski, Alexander J. (1998)
Abstract and Applied Analysis
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Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Reinhard Kluge (1976)
Banach Center Publications
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L. v. Wolfersdorf (1976)
Banach Center Publications
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Anton Schiela, Daniel Wachsmuth (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In the article an optimal control problem subject to a stationary variational inequality is investigated. The optimal control problem is complemented with pointwise control constraints. The convergence of a smoothing scheme is analyzed. There, the variational inequality is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal control problem converge to solutions of the original one. Passing to the limit in the optimality system of the regularized...
Igor Bock, Ján Lovíšek (1987)
Aplikace matematiky
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We deal with an optimal control problem for variational inequalities, where the monotone operators as well as the convex sets of possible states depend on the control parameter. The existence theorem for the optimal control will be applied to the optimal design problems for an elasto-plastic beam and an elastic plate, where a variable thickness appears as a control variable.