Results 21 to 30 of about 661 (188)
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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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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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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Contact geometry of the Pontryagin maximum principle [PDF]
Automatica, 2015 This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle---such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers---have natural contact-geometric interpretations.
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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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AIMS Mathematics, 2023 We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $.
Jun Moon
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The Maximum Principle of Pontryagin in Control of Twolegged Robot Based on Human Walking System
International Journal of Applied Mechanics and Engineering, 2014 In the paper a hypothesis about state equations of human gait is presented. Instantaneous normalized power developed by human muscles at particular joints of a leg is a control vector in state equations of the human walking system.
K.K. Żur
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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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A Pareto–Pontryagin Maximum Principle for Optimal Control
Symmetry, 2022 In this paper, an attempt to unify two important lines of thought in applied optimization is proposed. We wish to integrate the well-known (dynamic) theory of Pontryagin optimal control with the Pareto optimization (of the static type), involving the maximization/minimization of a non-trivial number of functions or functionals, Pontryagin optimal ...
Alberto Lovison, Franco Cardin
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