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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V.R. Barseghyan (2012)
The Yugoslav Journal of Operations Research
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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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J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Hans-Dieter Burkhard (1988)
Banach Center Publications
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Frank H. Clarke (1985)
Banach Center Publications
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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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
Ursula Felgenhauer (2004)
International Journal of Applied Mathematics and Computer Science
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In optimal control problems with quadratic terminal cost functionals and systems dynamics linear with respect to control, the solution often has a bang-bang character. Our aim is to investigate structural solution stability when the problem data are subject to perturbations. Throughout the paper, we assume that the problem has a (possibly local) optimum such that the control is piecewise constant and almost everywhere takes extremal values. The points of discontinuity are the switching...