Results 11 to 20 of about 72,024 (232)
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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REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS [PDF]
Ural Mathematical Journal, 2016 This article is devoted to studying dual regularization method applied to parametric convex optimal control problem of controlled third boundary–value problem for parabolic equation with boundary control and with equality and inequality pointwise state ...
Mikhail I. Sumin
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A Pontryagin Maximum Principle in Wasserstein Spaces for Constrained Optimal Control Problems [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2019 International audienceIn this paper, we prove a Pontryagin Maximum Principle for constrained optimal control problems in the Wasserstein space of probability measures.
Bonnet, Benoît, Benoît Bonnet
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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.
T. Ohsawa
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E S A I M: Control, Optimisation and Calculus of Variations, 2021 In this paper we consider optimal sampled-data control problems on time scales with inequality state constraints. A Pontryagin maximum principle is established, extending to the state constrained case existing results in the time scale literature.
Bettiol, Piernicola +3 more
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A Stochastic Pontryagin Maximum Principle on the Sierpinski Gasket [PDF]
SIAM Journal on Control and Optimization, 2018 In this paper, we consider stochastic control problems on the Sierpinski gasket. An order comparison lemma is derived using heat kernel estimate for Brownian motion on the gasket. Using the order comparison lemma and techniques of BSDEs, we establish a Pontryagin stochastic maximum principle for these control problems.
Liu, Xuan
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Mathematics, 2020 A numerical method based on the Pontryagin maximum principle for solving an optimal control problem with static and dynamic phase constraints for a group of objects is considered.
Askhat Diveev +2 more
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The Pontryagin maximum principle and optimal economic growth problems
, 2007 This monograph is devoted to the theory of the Pontryagin maximum principle as applied to a special class of optimal control problems that arise in economics when studying economic growth processes.
A. V. Kryazhimskii +3 more
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, 2020 We study the Pontryagin maximum principle for an optimal control problem with state constraints. We analyze the continuity of a vector function μ (which is one of the Lagrange multipliers corresponding to an extremal by virtue of the maximum principle ...
Arutyunov A.V.
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Pontryagin maximum principle for the deterministic mean field type optimal control problem via the Lagrangian approach [PDF]
Journal of Differential Equations, 2022 We study necessary optimality conditions for the deterministic mean field type free-endpoint optimal control problem. Our study relies on the Lagrangian approach that treats the mean field type control system as a crowd of infinitely many agents who are ...
Y. Averboukh, D. Khlopin
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