Some results on convergence linked to a perturbed boundary optimal control system.
A. Bounabat, T. Benkiran, M. Akkouchi (1994)
Extracta Mathematicae
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A. Bounabat, T. Benkiran, M. Akkouchi (1994)
Extracta Mathematicae
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Igor Bock, Ivan Hlaváček, Ján Lovíšek (1987)
Aplikace matematiky
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We shall deal with an optimal control problem for the deffection of a thin elastic plate. We consider the perpendicular load on the plate as the control variable. In contrast to the papers [1], [2], arbitrarily large loads are edmitted. As the unicity of a solution of the state equation is not guaranteed, we consider the cost functional defined on the set of admissible controls and states, and the state equation plays the role of the constraint. The existence of an optimal couple (i.e.,...
Mohamed Akkouchi, Abdellah Bounabat (2001)
Annales mathématiques Blaise Pascal
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Gh. Aniculăesei (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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