Results 31 to 40 of about 3,032,055 (192)
Contact geometry of the Pontryagin maximum principle [PDF]
Automatica, 2015 This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle---such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers---have natural contact-geometric interpretations.
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An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
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Pontryagin maximum principle and Stokes theorem [PDF]
Journal of Geometry and Physics, 2019 We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions, from which the classical Pontryagin Maximum Principle is derived in a new insightful way.
Cardin F., Spiro A.
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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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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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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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The maximum principle and its application to industrial engineering problems [PDF]
The maximum principle developed by the Russian mathematician, L.S. Pontryagin is considered to be one of the most significant contributions to the recent advances in mathematical optimization techniques. Unfortunately, most of the published literature on
Kanbe, Kenji
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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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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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