Optimal control and stability analysis of an alcoholism model with treatment centers [PDF]
Alcoholism 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]
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]
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]
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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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]
Optimal 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
europepmc +2 more sources
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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The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle. [PDF]
This paper should be read as addendum to Dieckmann et al. (J Theor Biol 241:370.389, 2006) and Parvinen et al. (J Math Biol 67:509-533, 2013) Our goal is, using little more than high-school calculus, to (1) exhibit the form of the canonical equation of ...
Metz JAJ, Staňková K, Johansson J.
europepmc +2 more sources
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 impulsive control problems
A necessary optimality conditions in the form of Pontryagin's maximum principle for an impulsive control problem with mixed constraints has been reported.
Karamzin D.Yu. +2 more
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Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models
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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