Results 1 to 10 of about 843 (165)
Optimal control and stability analysis of an alcoholism model with treatment centers [PDF]
MethodsXAlcoholism affects individuals across all demographics and is a major global health challenge, contributing significantly to mortality rates. This study develops and analyzes a mathematical model of alcoholism, focusing on the dynamics of drinking ...
Cicik Alfiniyah +4 more
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Optimal Control-Based Generic Framework for Radiofrequency Pulse Design in MRI. [PDF]
NMR BiomedThis paper presents an open‐source Python‐based optimal control RF design framework, which can tackle various problems (short‐T2 selective excitation or B1‐robust excitation/inversion). It features three main methodological contributions: a specific cost is introduced to reduce pulse peak amplitude; consistent integration of various hard constraints on
Molina E, Ratiney H, Van Reeth E.
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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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Optimal Control for Dynamic Pricing and Advertising of Ticket Selling for the Sport and Entertainment Events [PDF]
چشمانداز مدیریت صنعتی, 2022 This article is the result of a research project in dynamic pricing and advertising to determine the number of sale tickets for a sporting or an entertainment event.
Mohamad Reza Mehregan +3 more
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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.
A. V. Dmitruk, A. M. Kaganovich
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Geometric Approach to Pontryagin’s Maximum Principle [PDF]
Acta Applicandae Mathematicae, 2008 Since the second half of the 20th century, Pontryagin's Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we focus on the proof and on the understanding of this Principle, using as much geometric ideas and geometric tools as possible.
Barbero Liñán, María +1 more
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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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Mean-Field Pontryagin Maximum Principle [PDF]
Journal of Optimization Theory and Applications, 2017 We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as $Γ$-limits of optimal control problems subject to ODE constraints, modeling, for instance, external interventions on crowd dynamics.
Bongini, Mattia +3 more
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Известия Иркутского государственного университета: Серия "Математика", 2023 We study a singular problem of optimal control of a nonlocal transport equation in the space of probability measures, in which the structure of the drivng vector field with respect to the control variable is somewhat equivalent to the affine one, while ...
M. V. Staritsyn +2 more
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Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models
Complexity, 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, Rongwei Guo
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