On the question of approximate calculation of the attainability set for controllable systems with delay
type: Item
instance of: scholarly article
title: On the question of approximate calculation of the attainability set for controllable systems with delay
zbMATH Open document ID: 0840.93011
author: E. N. Rurenko
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1995-09-25T00:00:00Z
review text: Nonlinear, time-invariant control systems with lumped constant delay in the state variables are considered. Using differential inclusion methods, a construction of approximations of the attainable sets in finite time is presented. Under some general assumptions, the Hausdorff distance between an attainable set and its approximation is calculated. Moreover, in the linear case some additional parameters for the attainable sets are determined. Similar problems but for control systems without delays have been investigated in the paper [\textit{M. S. Nikol'skij}, Mosc. Univ. Comput. Math. Cybern. 1987, No. 4, 33-37 (1987); translation from Vestn. Mosk. Univ., Ser. XV 1987, No. 4, 31-34 (1987; Zbl 0715.65053)].
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 797937
zbMATH Keywords: nonlinear
zbMATH Keywords: time-invariant
zbMATH Keywords: delay
zbMATH Keywords: differential inclusions
zbMATH Keywords: attainable sets
zbMATH Keywords: Hausdorff distance
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 797937