Астаф'єва, Марія Миколаївна
(2017)
*Problem of function minimization in theory of management*
Фізико-математична освіта : науковий журнал (4(14)).
pp. 143-148.
ISSN 2413-158X

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## Abstract

In recent decades, the theory of optimal control is developing intensively, which is explained not only by the presence of complex and interesting purely mathematical problems, but also by a wide spectrum of applied problems in various branches of science and human activity: physics, economics, biology, ecology, medicine, energy, etc. New scientific (theoretical) and real (applied) tasks differ in their complexity, which determines not only the expansion of the scope of mathematical modeling, but also the improvement of the models themselves in the direction of greater accuracy and completeness. Particularly acute in today's conditions of rapid development of science, technology, information technology is the problem of controllability of the system (process), the task of finding optimal control. As you know, each task of optimal control contains the following components: 1) mathematical model of the control object; 2) the purpose of management (the so-called quality criterion); 3) certain limitations on the state (trajectory) of the system, the duration of the management process, etc., in which the purpose of management should be ensured. The proposed article is devoted to one of the optimization problems of the mathematical control theory, in which the evolutionary process is described by linear differential equations, and the control function is given by an improper integral.

Item Type: | Article |
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Uncontrolled Keywords: | linear differential equation; control function; functional; inappropriate integral; optimal control; minimum of functional; Rikkat equation |

Subjects: | Статті у наукометричних базах > Index Copernicus Статті у журналах > Фахові (входять до переліку фахових, затверджений МОН) |

Divisions: | Факультети > Факультет інформаційних технологій та управління > Кафедра комп'ютерних наук і математики |

Depositing User: | Доцент Марія Миколаївна Астаф'єва |

Date Deposited: | 04 Apr 2018 05:48 |

Last Modified: | 22 Dec 2018 10:23 |

URI: | https://elibrary.kubg.edu.ua/id/eprint/23646 |

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