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...
Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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M. El Bagdouri, B. Cébron, M. Sechilariu, J. Burger (2004)
Control and Cybernetics
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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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...