A Control Problem for a System of ODE with Nonseparated Multipoint and Integral Conditions

V. M. Abdullayev
Additional contact information
V. M. Abdullayev: Azerbaijan State Oil and Industry University

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 11-31 from Springer

Abstract: Abstract Using gradient-type methods is proposed to solve a control problem with nonseparated multipoint and integral conditions. Therefore, formulas for the gradient of the objective functional are obtained in this study. For the numerical solution of nonlocal direct and conjugate boundary value problems, an approach is proposed that allows folding the integral terms into local ones and then using an analog of the transfer of conditions. As a result, the solving of nonlocal boundary value problems is reduced to the solving of specially constructed Cauchy problems and one system of linear equations. An analysis of the obtained results of computational experiments is carried out.

Keywords: Optimal control; Multipoint conditions; Integral conditions; Transfer method for intermediate conditions; Integral conditions convolution operation (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_2

Ordering information: This item can be ordered from
http://www.springer.com/9783030847210

DOI: 10.1007/978-3-030-84721-0_2

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().