An optimal control problem with various quality functionals
type: Item
instance of: scholarly article
title: An optimal control problem with various quality functionals
zbMATH Open document ID: 0704.49031
author: S. P. Samsonov
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: A numerical method for recovering a convex set F from its support function c(F,\(\psi\)) is considered: a polyhedron \(\bar F\) is constructed such that the Hausdorff distance between F and \(\bar F\) does not exceed a given accuracy \(\epsilon >0\) and \(F\subset \bar F\). The obtained result is applied to the recovery of the attainable set of a linear control system from its support function. From the knowledge of the recovered attainable set it is possible to solve the optimal control problem with various terminal functionals.
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 4155309
zbMATH Keywords: recovering a convex set
zbMATH Keywords: recovery of the attainable set
zbMATH Keywords: terminal functionals
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4155309