Pontryagin Maximum Principle for coupled slow and fast systems
Zvi Artstein (2009)
Control and Cybernetics
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Zvi Artstein (2009)
Control and Cybernetics
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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...
M. El Bagdouri, B. Cébron, M. Sechilariu, J. Burger (2004)
Control and Cybernetics
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Vladimir Gurman (2009)
Control and Cybernetics
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Bock, I., Lovíšek, J.
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Barbara Bily (2002)
Applicationes Mathematicae
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Necessary conditions for some optimal control problem for a nonlinear 2-D system are considered. These conditions can be obtained in the form of a quasimaximum principle.
Nikolaos S. Papageorgiou, Nikolaos Yannakakis (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls. Then we...
L. v. Wolfersdorf (1976)
Banach Center Publications
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Noriaki Yamazaki (2009)
Banach Center Publications
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In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results. ...
Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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