On the construction of an asymptotic analog of a pencil of trajectories for a linear system with a single-impulse control
type: Item
instance of: scholarly article
title: On the construction of an asymptotic analog of a pencil of trajectories for a linear system with a single-impulse control
zbMATH Open document ID: 1079.93022
author: A. V. Skvortsova
author: A. G. Chentsov
published in: Differential Equations
publication date: 2005-05-23T00:00:00Z
review text: In the paper linear, finite-dimensional, time dependent control systems described by an ordinary differential state equation are considered. The main purpose of the paper is to discuss the behaviour of the control systems with impulsive controls and with impulsive constraints. Using the methods taken directly from differential geometry and mathematical analysis the properties of the solutions are investigated in detail. Many properties of a pencil of the system trajectories are pointed out. Moreover, many remarks and comments concerning so-called attraction sets are given. A simple numerical example illustrates the theoretical considerations. Finally, it should be stressed, that similar problems have been widely considered in the monograph [\textit{A. G. Chentsov}, ``Asymptotic attainability'' (Mathematics and its Applications 383, Dordrecht: Kluwer) (1997; Zbl 0859.93002)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 2170251
zbMATH Keywords: linear control systems
zbMATH Keywords: impulsive control
zbMATH Keywords: continuous-time control systems
MaRDI profile type: Publication
full work available at URL: s10625-005-0104-7
OpenAlex ID: W2045566876
cites work: Q5565859
cites work: Q4538938
cites work: Q4064160
DOI: 10.1007/S10625-005-0104-7
description: scientific article; zbMATH DE number 2170251