Optimal Control Problems: Convergence and Error Analysis in Reproducing Kernel Hilbert Spaces [PDF]
Control and Optimization in Applied Mathematics, 2021 In this article, we offer an efficient method to find an approximate solution for quadratic optimal control problems. The approximate solution is offered in a finite series form in reproducing kernel space.
Ebrahim Amini
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Pontryagin's maximum principle for constrained impulsive control problems
, 2020 Necessary conditions in the form of Pontryagin's maximum principle are derived for impulsive control problems with mixed constraints. A new mathematical concept of impulsive control is introduced as a requirement for the consistency of the impulsive ...
Karamzin D.Yu. +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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Overhead crane anti-swing system based on the Pontryagin’s maximum principle
Transport, 2015 Overhead cranes are widely used at industrial enterprises for transportation of materials and products. They are successfully adaptable to technological processes used at an enterprise and their exploitation is inexpensive; in addition, the price of ...
Bronislovas Spruogis +3 more
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Pontryagin's principle for some probabilistic control problems [PDF]
, 2023 In this paper we investigate optimal control problems perturbed by random events. We assume that the control has to be decided prior to observing the outcome of the perturbed state equations.
Henrion, René +2 more
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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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Optimization of two-stage methanogenesis regime based on the Pontryagin’s maximum principle ***
Advanced Engineering Research, 2019 Introduction. The solution to the problem of optimal control of the biogas process under its conversion in two digesters is considered. The work objectives are to propose a mathematical model of this process and to develop an optimal control algorithm ...
S. A. Korolev, D. V. Maykov
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A Within-host Tuberculosis Model Using Optimal Control
JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment of tuberculosis. We considered an in-host tuberculosis model that described the interaction between Macrophages and Mycobacterium tuberculosis and ...
Yudi Ari Adi
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Maximum principle for near-optimality of stochastic delay control problem
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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Influence of the elevation-storage curve in the optimization of hydroplants [PDF]
International Journal for Simulation and Multidisciplinary Design Optimization, 2009 One of the most important physical characteristics of a reservoir is the elevation-storage curve. In most cases, linear simplification is applied to this curve, which is approximated as a linear relationship.
Bayón L. +3 more
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