Results 1 to 10 of about 5,095 (125)

Optimal paper web weight control system based on the Pontryagin’s maximum principle [PDF]

open access: yesE3S 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
doaj   +1 more source

Optimal Control of Manipulator

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
When solving the problem of optimal performance for manipulative robots, the scientific team headed by F. L. Chernousko actively uses the Pontryagin maximum principle.
Yu. F. Dolgii, I. A. Chupin
doaj   +1 more source

Riemannian Formulation of Pontryagin’s Maximum Principle for the Optimal Control of Robotic Manipulators

open access: yesMathematics, 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
doaj   +1 more source

The interpolated variational iteration method for solving a class of nonlinear optimal control problems [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
Despite the variety of methods available to solve nonlinear optimal con-trol problems, numerical methods are still evolving to solve these problems.
Mohammad Shirazian
doaj   +1 more source

Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models

open access: yesComplexity, 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
doaj   +1 more source

Pontryagin’s Maximum Principle and Indirect Descent Method for Optimal Impulsive Control of Nonlocal Transport Equation

open access: yesИзвестия 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
doaj   +1 more source

Optimizing a vehicle trans-atmospheric motion using Pontryagin’s maximum principle

open access: yesВестник 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
doaj   +1 more source

Geometric Approach to Pontryagin's Maximum Principle [PDF]

open access: yes, 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.
A. Agrachev   +61 more
core   +6 more sources

Overhead crane anti-swing system based on the Pontryagin’s maximum principle

open access: yesTransport, 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
doaj   +1 more source

Optimization of two-stage methanogenesis regime based on the Pontryagin’s maximum principle ***

open access: yesAdvanced 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
doaj   +1 more source

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