Geometric optimal control and two-level dissipative quantum systems
Bernard Bonnard, Dominique Sugny (2009)
Control and Cybernetics
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Bernard Bonnard, Dominique Sugny (2009)
Control and Cybernetics
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Vladimir Krastev (2013)
Open Mathematics
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We consider a class of age-structured control problems with nonlocal dynamics and boundary conditions. For these problems we suggest Arrow-type sufficient conditions for optimality of problems defined on finite as well as infinite time intervals. We examine some models as illustrations (optimal education and optimal offence control problems).
Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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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
Bernard Bonnard, Nataliya Shcherbakova, Dominique Sugny (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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The motivation of this article is double. First of all we provide a geometrical framework to the application of the smooth continuation method in optimal control, where the concept of conjugate points is related to the convergence of the method. In particular, it can be applied to the analysis of the global optimality properties of the geodesic flows of a family of Riemannian metrics. Secondly, this study is used to complete the analysis of two-level dissipative quantum systems, where...