Complete solutions to general box-constrained global optimization problems
type: Item
instance of: scholarly article
title: Complete solutions to general box-constrained global optimization problems
zbMATH Open document ID: 1227.49041
DOI: 10.1155/2011/478608
author: Dan Wu
author: Youlin Shang
published in: Journal of Applied Mathematics
publication date: 2011-10-27T00:00:00Z
review text: Summary: This paper presents a global optimization method for solving general nonlinear programming problems subjected to box constraints. Regardless of convexity or nonconvexity, by introducing a differential flow on the dual feasible space, a set of complete solutions to the original problem is obtained, and criteria for global optimality and existence of solutions are given. Our theorems improve and generalize recent known results in the canonical duality theory. Applications to a class of constrained optimal control problems are discussed. Particularly, an analytical form of the optimal control is expressed. Some examples are included to illustrate this new approach.
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 49J10
zbMATH DE Number: 5964446
zbMATH Keywords: global optimization method
zbMATH Keywords: general nonlinear programming problems
zbMATH Keywords: canonical duality theory
Wikidata QID: Q58690435
describes a project that uses: alphaBB
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/478608
OpenAlex ID: W2138031310
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DBLP publication ID: journals/jam/WuS11
description: scientific article; zbMATH DE number 5964446