Switchings of optimal controls and the equation ,
Pavol Brunovský, John J. Mallet-Paret (1985)
Časopis pro pěstování matematiky
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Pavol Brunovský, John J. Mallet-Paret (1985)
Časopis pro pěstování matematiky
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V. Janković (1981)
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J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Zhu, Jinghao, Zou, Zhiqiang (2003)
International Journal of Mathematics and Mathematical Sciences
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A. Pliś (1975)
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Rozonoer, L.I. (1999)
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Janković, Vladimir (1989)
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Alfredo Bermudez (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we present some applications of the J.-L. Lions' optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
Boscain, U., Piccoli, B. (1998)
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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.