Necessary conditions of optimality for infinite dimensional uncertain systems.
Ahmed, N.U., Xiang, X. (1995)
Mathematical Problems in Engineering
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Ahmed, N.U., Xiang, X. (1995)
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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
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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...