Existence theorems for some optimal control problems
V. Janković (1981)
Matematički Vesnik
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V. Janković (1981)
Matematički Vesnik
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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
Madalina Petcu, Roger Temam (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.
Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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V.R. Barseghyan (2012)
The Yugoslav Journal of Operations Research
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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A. Pliś (1975)
Annales Polonici Mathematici
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Saebi, Nasrollah (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Bounkhel, Messaoud, Tadj, Lotfi (2005)
APPS. Applied Sciences
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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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J. L. Willems (1985)
Banach Center Publications
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