Results 11 to 20 of about 62,611 (177)
Pontryagin’s Maximum Principle for the Loewner Equation in Higher Dimensions [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2014 In this paper we develop a variational method for the Loewner equation in higher dimensions. As a result we obtain a version of Pontryagin’s maximum principle from optimal control theory for the Loewner equation in several complex variables.
Oliver Roth
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The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems & Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitruk, A. V., Kaganovich, A. M.
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Pontryagin's Maximum Principle for Optimal Control of Stochastic SEIR Models
Complex, 2020 In this paper, we study the necessary conditions as well as sufficient conditions for optimality of stochastic SEIR model. The most distinguishing feature, compared with the well-studied SEIR model, is that the model system follows stochastic ...
Ruimin Xu, R. Guo
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, 2020 An urban railway is a complex technical system that consumes large amounts of energy, but this means of transportation still has been obtained more and more popularity in densely populated cities because of its features of high-capacity transportation ...
A. Anh +4 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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Addendum to Pontryagin’s maximum principle for dynamic systems on time scales [PDF]
, 2017 This note is an addendum to [L. Bourdin and E. Trélat, SIAM J. Cont. Optim., 2013] and [M. Bohner, K. Kenzhebaev, O. Lavrova and O. Stanzhytskyi, J. Differ. Equ. Appl., 2017], pointing out the differences between these papers and raising open questions.
L. Bourdin +2 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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Deep Underground Science and Engineering, EarlyView.Inspired by spiders, the multilegged walk‐through assembling robot for arc parts achieves high‐precision synchronous control under heavy loads through dual‐layer hydraulic pose dynamics modeling and hierarchical pressure optimization, significantly enhancing shield tunneling assembly efficiency and precision.
Quan Xiao +5 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
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