Results 21 to 30 of about 7,836 (185)
Mathematics, 2022 In the present paper, two optimal control problems are studied using Lie geometric methods and applying the Pontryagin Maximum Principle at the level of a new working space, called Lie algebroid. It is proved that the framework of a Lie algebroid is more
Liviu Popescu +2 more
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A contact covariant approach to optimal control with applications to sub-Riemannian geometry [PDF]
, 2016 We discuss contact geometry naturally related with optimal control problems (and Pontryagin Maximum Principle). We explore and expand the observations of [Ohsawa, 2015], providing simple and elegant characterizations of normal and abnormal sub-Riemannian
Jóźwikowski, Michał +1 more
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Perancangan Kontrol Optimal pada Model Matematika Bioekonomik
Jurnal Matematika, 2014 This paper shows the initial research about the design of optimal investment policy of the public company in resource conservation, by using optimal control model.
G.K. Gandhiadi
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Abnormality in the Theory of Necessary Optimality Conditions
Известия Иркутского государственного университета: Серия "Математика", 2017 The problems of existence, non-uniqueness, abnormality of solutions arising from the using of necessary optimality conditions are discussed in terms of the extension principle and sufficient optimality conditions. Simple examples are used.
V.I. Gurman, M.M. Khrustalev
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Maximum principle for problem of circuit optimisation
Electronics Letters, 2016 The solution of a problem of circuit optimisation for minimum possible CPU time is obtained on the basis of the maximum principle of Pontryagin. It is shown that the effect of acceleration of the optimisation process that was studied earlier coincides ...
A. Zemliak
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Advances in Difference Equations, 2021 In this study, we use a compartmental nonlinear deterministic mathematical model to investigate the effect of different optimal control strategies in controlling Tuberculosis (TB) disease transmission in the community.
Doyo Kereyu, Seleshi Demie
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Optimal Breeding Strategy for Livestock with a Dynamic Price
Mathematics, 2022 China’s livestock output has been growing, but domestic livestock products such as beef, mutton and pork have been unable to meet domestic consumers’ demands. The imbalance between supply and demand causes unstable livestock prices and affects profits on
Leishi Wang +3 more
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Using Pontryagin maximum principle for parametrical identification of ship maneuvering mathematical model [PDF]
Transport Problems, 2014 This article proposes usage of Pontryagin maximum principle for parametrical identification of mathematical vessel’s model. Proposed method has a special perspective for identification in real time mode, when the parameters identified can be used for ...
Uri UDIN +2 more
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The Pontryagin Maximum Principle in the Wasserstein Space [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove a Pontryagin Maximum Principle for optimal control problems in the space of probability measures, where the dynamics is given by a transport equation with non-local velocity. We formulate this first-order optimality condition using the formalism of subdifferential calculus in Wasserstein spaces.
Bonnet, Benoît, Rossi, Francesco
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Chattering phenomenon in quantum optimal control
New Journal of Physics, 2022 We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V F Borisov and M I Zelikin, we ...
R Robin, U Boscain, M Sigalotti, D Sugny
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