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BSU bulletin. Mathematics, Informatics

Bibliographic description:
Buldaev A. S.
,
Trunin D. O.
ON ONE APPROACH TO OPTIMIZATION OF THE CONTROLLED SYSTEMS WITH RESTRICTIONS ON THE BASIS OF A FIXED POINT PROBLEM // BSU bulletin. Mathematics, Informatics. - 2018. №2. . - С. 29-41.
Title:
ON ONE APPROACH TO OPTIMIZATION OF THE CONTROLLED SYSTEMS WITH RESTRICTIONS ON THE BASIS OF A FIXED POINT PROBLEM
Financing:
Codes:
DOI: 10.18101/2304-5728-2018-2-29-41UDK: 517.977
Annotation:
In the article we consider a new approach to solving optimal control problems with constraints based on construction and solution of a system of conditions for improv- ing control in the form of a fixed point problem for control operator. To construct these conditions we apply the transition to an auxiliary problem without restrictions and with a regular Lagrange functional. Iterative algorithms for successive control improvement are constructed on the basis of a fixed point problem. We illustrate this approach by an example.
Keywords:
controlled system with constraints; conditions for improving control; a fixed point problem.
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