General Optimal Control Problem

Leonid T. Ashchepkov (), Dmitriy V. Dolgy, Taekyun Kim and Ravi P. Agarwal
Additional contact information
Leonid T. Ashchepkov: Department of Mathematics, Institute of Mathematics and Computer Technologies, Far Eastern Federal University
Dmitriy V. Dolgy: Kwangwoon Glocal Education Center, Kwangwoon University, Department of Mathematics, Institute of Mathematics and Computer Technologies Far Eastern Federal University Vladivostok, Russia
Taekyun Kim: Kwangwoon University, Department of Mathematics
Ravi P. Agarwal: Texas A&M University - Kingsville, Mathematics

Chapter Chapter 12 in Optimal Control, 2021, pp 141-164 from Springer

Abstract: Abstract The necessary optimality conditions in the General problem of optimal control are set out in several stages. Initially, for optimal process we construct a parameter family of “close” varied processes. The requirement for admissibility of varied processes leads to a finite auxiliary problem of nonlinear programming that depends on parameters of variation. The analysis of the auxiliary problem and the limiting translation by parameters of variation give the required necessary optimality conditions in the form of the Pontryagin’s maximum principle. We consider a using of the maximum principle for various particular cases of the General problem.

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:sprchp:978-3-030-91029-7_12

Ordering information: This item can be ordered from
http://www.springer.com/9783030910297

DOI: 10.1007/978-3-030-91029-7_12

Access Statistics for this chapter

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