Use of local estimates in the solution of variational problems by the method of limited search
type: Item
instance of: scholarly article
title: Use of local estimates in the solution of variational problems by the method of limited search
zbMATH Open document ID: 0563.49021
author: G. M. Aleshchenko
author: Yu. M. Fatkin
published in: Automation and Remote Control
publication date: 1984-01-01T00:00:00Z
review text: We consider a method of reducing the search in the solution of a variational problem. We propose a principle of selection of necessarily nonoptimal trajectories from a given set of incomplete admissible trajectories, based on the use of local estimates of a functional. We determine conditions under which the rejection of isolated intermediate solutions does not lower the accuracy of the final result obtained. We give an example of the use of local estimates in the numerical solution of a dynamical optimization problem.
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C39
Mathematics Subject Classification ID: 49M05
zbMATH DE Number: 3897686
zbMATH Keywords: principle of selection of necessarily nonoptimal trajectories
zbMATH Keywords: local estimates
zbMATH Keywords: dynamical optimization
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3897686