Alfredo Bermudez (2002)
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
Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)
Control and Cybernetics
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Leszek Mikulski (2004)
International Journal of Applied Mathematics and Computer Science
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Optimal design problems in mechanics can be mathematically formulated as optimal control tasks. The minimum principle is employed in solving such problems. This principle allows us to write down optimal design problems as Multipoint Boundary Value Problems (MPBVPs). The dimension of MPBVPs is an essential restriction that decides on numerical difficulties. Optimal control theory does not give much information about the control structure, i.e., about the sequence of the forms of the right-hand...
Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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M. El Bagdouri, B. Cébron, M. Sechilariu, J. Burger (2004)
Control and Cybernetics
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Kim, Kangsoo, Ura, Tamaki (2010)
Mathematical Problems in Engineering
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Kun-Jen Chung (1991)
The Yugoslav Journal of Operations Research
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Piotr Holnicki, Jan Sokołowski, Antoni Żochowski (1987)
Aplikace matematiky
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The convex optimal control problem for a system described by the parabolic equation is considered. The form of the right derivative of an optimal solution with respect to the parameter is derived. The applications to an air quality control problem are discussed. Numerical result are provided.
Lino José Alvarez-Vázquez, Alfredo Bermúdez, Aurea Martínez, Carmen Rodríguez, Miguel Ernesto Vázquez-Méndez (2002)
RACSAM
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The main goal of this paper is to show some applications of the optimal control theory to the wastewater elimination problem. Firstly, we deal with the numerical simulation of a given situation. We present a suitable mathematical model, propose a method to solve it and show the numerical results for a realistic situation in the (Spain). Secondly, in the same framework of wastewater elimination problem, we pose two economic-environmental problems which can be formulated as constrained...