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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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 design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass [PDF]
Vietnam Journal of Mechanics, 2017 In this paper, the problem of optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle (PMP) considering the influence of concentrated mass is presented.
Bui Hai Le, Tran Minh Thuy
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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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On the sufficiency of Pontryagin's maximum principle [PDF]
, 2016 This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for
Ferreira, M. Margarida A. +1 more
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Optimal Control-Based RF Pulses Versus Classical Motion-Encoding Strategies for In Vivo Hepatic MR Elastography Across Multiple Excitation Frequencies in Mice: Reproducibility Assessment. [PDF]
NMR BiomedOptimal control (OC)–based motion encoding doubles SNR in vivo in murine hepatic MRE by eliminating motion‐encoding gradients and enabling shorter echo times. Quantitative liver stiffness measurements remain consistent with conventional MEG‐MRE across multiple excitation frequencies, supporting longitudinal studies and clinical translation ...
Bakir-Ageron T +5 more
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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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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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