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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
Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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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...
Karl Kunisch, Lijuan Wang (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin’s maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control...
Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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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
Similarity:
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
([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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