General Optimal Control Problem

Autor:	Leonid T. Aschepkov, Taekyun Kim, Ravi P. Agarwal, Dmitriy V. Dolgy
Rok vydání:	2021
Předmět:	Set (abstract data type) Mathematical optimization Maximum principle Process (computing) Optimal substructure Optimal projection equations Linear-quadratic-Gaussian control Optimal control Nonlinear programming Mathematics
Zdroj:	Optimal Control ISBN: 9783030910280 Optimal Control ISBN: 9783319497808
DOI:	10.1007/978-3-030-91029-7_12
Popis:	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 transition by parameters of variation give the required necessary optimality conditions in the form of the Pontryagin maximum principle. We consider a using of the maximum principle for various particular cases of the general problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2376b86fc006d5f1355dc382e1b6a36 https://doi.org/10.1007/978-3-030-91029-7_12 Zobrazit plný text záznamu