On some new phenomena in state-constrained optimal control if ODEs as well as PDEs are involved
Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)
Control and Cybernetics
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Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)
Control and Cybernetics
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Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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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
J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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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...
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.