Analytic estimates for the boundary of the region of asymptotic attraction
type: Item
instance of: scholarly article
title: Analytic estimates for the boundary of the region of asymptotic attraction
zbMATH Open document ID: 0894.93038
DOI: 10.1023/A:1008223530175
author: R. J. Stonier
author: Andrew James Stacey
published in: Dynamics and Control
publication date: 1998-04-20T00:00:00Z
review text: An improvement of the back propagation method for the approximation of the region of attraction of asymptotically stable equilibrium points is presented. Instead of considering a few of arbitrarily chosen initial points, the authors consider a small surface surrounding the equilibrium position. The surface is gien in a parametric form. Then the points of the surface are back propagated by means of a symbolic Euler integration method. The boundary of the region of attraction is therefore approximated by a surface parametrically defined in analytic form.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 1143533
zbMATH Keywords: asymptotic stability
zbMATH Keywords: backward integration
zbMATH Keywords: back propagation method
zbMATH Keywords: boundary of the region of attraction
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
full work available at URL: a:1008223530175
OpenAlex ID: W107622175
description: scientific article; zbMATH DE number 1143533