Solution to singular optimal control by backward differential flow
type: Item
instance of: scholarly article
title: Solution to singular optimal control by backward differential flow
zbMATH Open document ID: 1263.49063
DOI: 10.1155/2013/678679
author: Jinghao Zhu
author: Shangrui Zhao
author: Guohua Liu
published in: Journal of Control Science and Engineering
publication date: 2013-06-10T00:00:00Z
review text: Summary: This paper presents a backward differential flow for solving singular optimal control problems. By using Krotov equivalent transformation, the cost functional is converted to a class of global optimization problems. Some properties of the flow are given to reveal the significant relationship between the dynamic of the flow and the geometry of the feasible set. The proposed method is also used in solving a class of variational problems. Some examples are illustrated.
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 93B27
zbMATH DE Number: 6172160
zbMATH Keywords: singular optimal control problems
zbMATH Keywords: Krotov equivalent transformation
zbMATH Keywords: global optimization problems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/678679
OpenAlex ID: W2074782601
Wikidata QID: Q59012444
cites work: Q5727849
cites work: Q4400449
cites work: Q4855775
cites work: Applying the canonical dual theory in optimal control problems
cites work: Global optimization with polynomials and the problem of moments
cites work: On global optimizations with polynomials
cites work: Canonical duality theory and solutions to constrained nonconvex quadratic programming
cites work: Fixed Point Theory and Its Applications
cites work: Q4833806
cites work: New properties and computational improvement of the GOP algorithm for problems with quadratic objective functions and constraints
description: scientific article; zbMATH DE number 6172160