BSU bulletin
Mathematics, Informatics

BSU bulletin. Mathematics, Informatics

Bibliographic description:
Buldaev A. S.
Khishektueva I. D.
Anakhin V. D.
Dambaev Z. G.
ON ONE METHOD FOR SOLVING THE PROBLEM OF IDENTIFYING DYNAMIC SYSTEMS // BSU bulletin. Mathematics, Informatics. - 2020. №4. . - С. 14-25.
Работа выполнена при финансовой поддержке РФФИ, проект 18-41-030005-р_а.
DOI: 10.18101/2304-5728-2020-4-14-25UDK: 517.977
To solve the problem of identifying dynamic systems, the theory and
methods of optimal control are applied. The article deals with a new approach to solving the problem based on representing the conditions for improving control in the form
of special problems on a fixed point of control operators. This representation makes it
possible to apply and modify the theory and methods of fixed points for constructing
relaxation control sequences in the optimization problems of the class under consideration. We have proposed an algorithm for the approximate solution of the identification
problem based on iterative methods for finding fixed points. The considered algorithm
is characterized by the properties of control non-local improvement and the fundamental possibility of strictly improving non-optimal controls that satisfy the known necessary optimality conditions, in contrast to gradient and other local methods. The effectiveness of the proposed optimization methods has been illustrated by calculating a model problem
parametric optimization; control improvement conditions; the fixed point problem; optimization method.
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