Asymptotic attainability in the abstract control problem under perturbed integral constraints. I
type: Item
instance of: scholarly article
title: Asymptotic attainability in the abstract control problem under perturbed integral constraints. I
zbMATH Open document ID: 0844.93013
author: A. G. Chentsov
published in: Russian Mathematics
publication date: 1996-05-08T00:00:00Z
review text: Linear finite-dimensional continuous-time control systems are considered. The asymptotic behaviour of the attainable sets under perturbations of integrally constrained controls are investigated. Using topological methods and Cauchy formula for linear control systems, the asymptotic inertness property for attainable sets is derived. Moreover, generalized integral contraints and their relaxations are also discussed. Finally several remarks and comments on the properties of the attainable sets are given. Similar control problems with integral constraints can be found in the paper [\textit{V. P. Serov} and \textit{A. G. Chentsov}, Differ. Uravn. No. 4, 607-618 (1990; Zbl 0707.49002)].
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 03C25
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 857484
zbMATH Keywords: time-varying
zbMATH Keywords: linear
zbMATH Keywords: continuous-time
zbMATH Keywords: attainable sets
zbMATH Keywords: perturbations
zbMATH Keywords: integral contraints
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 857484