Extension of control problems in the class of finitely additive vector measures
type: Item
instance of: scholarly article
title: Extension of control problems in the class of finitely additive vector measures
zbMATH Open document ID: 0935.93009
author: S. I. Morina
author: A. G. Chentsov
published in: Automation and Remote Control
publication date: 2000-05-04T00:00:00Z
review text: Linear, continuous-time, finite-dimensional, nonstationary control systems are considered. It is generally assumed that the control constraints are of integral type. The notion of attainable set is introduced and various asymptotic properties of the attainable sets are investigated in relation to the perturbations of the integral constraints. In the proofs, finitely additive vector measure methods are used. Moreover, several remarks and comments concerning the properties of the attainable sets and related optimal control problems are given. Asymptotic attainability problems have been recently considered in the paper [\textit{A. G. Chentsov} and \textit{S. I. Morina}, Funct. Differ. Equ. 2, 23-37 (1994; Zbl 0874.93016)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1263172
zbMATH Keywords: asymptotic attainability
zbMATH Keywords: integral constraints
zbMATH Keywords: finitely additive vector measures
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1263172