Optimal paper web weight control system based on the Pontryagin’s maximum principle [PDF]
E3S Web of Conferences, 2021 The paper describes the stages of paper production, considers the structure of a paper-making machine. Questions related to the proof and use of the Pontryagin’s maximum principle in the theory of optimal control are considered.
Lysova Natalia, Myasnikova Nina
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Pontryagin’s maximum principle for the Roesser model with a fractional Caputo derivative [PDF]
Archives of Control SciencesIn this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral. In
Shakir Sh. Yusubov, Elimhan N. Mahmudov
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Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions [PDF]
Abstract and Applied Analysis, 2015 Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for
M. J. Mardanov, Y. A. Sharifov
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Maximum principle for near-optimality of stochastic delay control problem [PDF]
Advances in Difference Equations, 2017 This paper is concerned with near-optimality for stochastic control problems of linear delay systems with convex control domain and controlled diffusion. Necessary and sufficient conditions for a control to be near-optimal are established by Pontryagin’s
Feng Zhang
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Mathematics, 2022 In this work, we consider robotic systems for which the mass tensor is identified to be the metric in a Riemannian manifold. Cost functional invariance is achieved by constructing it with the identified metric.
Juan Antonio Rojas-Quintero +2 more
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Optimizing a vehicle trans-atmospheric motion using Pontryagin’s maximum principle
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2018 The task of optimizing trans-atmospheric motion of a flight vehicle in order to maximize its final velocity with prescribed finite values of the height and flight path angle is considered.
V. L. Balakin +2 more
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Optimal control governed impulsive neutral differential equations
Results in Control and OptimizationWe derive Pontryagin’s Maximum Principle for optimal control problems characterized by nonlinear impulsive neutral type differential equations.
Oscar Camacho +2 more
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Optimal Control of Manipulator
Известия Иркутского государственного университета: Серия "Математика", 2023 When solving the problem of optimal performance for manipulative robots, the scientific team headed by F. L. Chernousko actively uses the Pontryagin maximum principle.
Yu. F. Dolgii, I. A. Chupin
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Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations [PDF]
, 2023 In this paper, we derive the Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations. Our method is based on Dubovitskii-Milyutin theory, but in doing so, we assumed that the linear variational ...
Leiva, Hugo
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FORMAL SOLUTION OF SHIP WEATHER ROUTING PROBLEM VIA PONTRYAGIN’S MAXIMUM PRINCIPLE [PDF]
, 2017 The paper presents a formulation of a general optimal control problem together with the main tool for finding its solutions - the Pontryagin’s maximum principle.
ABRAMOWSKI, TOMASZ +2 more
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