Practical stability of impulsive control systems
type: Item
instance of: scholarly article
title: Practical stability of impulsive control systems
zbMATH Open document ID: 0860.93024
author: F. A. McRae
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-04-14T00:00:00Z
review text: We use the method of vector Lyapunov functions to study practical stability of control systems with impulse effects. We shall first consider a unified method of specifying admissible control sets corresponding to any desired concept of practical stability of the impulsive control system (ICS) by reducing it to the study of impulsive differential systems (IDS) without controls. We also discuss a direct approach of reducing the complicated ICS to a simpler impulsive control system, which may be easier to investigate. Examples are given to illustrate our results.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 566442
zbMATH Keywords: vector Lyapunov functions
zbMATH Keywords: practical stability
zbMATH Keywords: impulse effects
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1050
OpenAlex ID: W1994447780
DOI: 10.1006/JMAA.1994.1050
description: scientific article; zbMATH DE number 566442