Stochastic stability of nonlinear systems
type: Item
instance of: scholarly article
title: Stochastic stability of nonlinear systems
zbMATH Open document ID: 0813.70020
DOI: 10.1016/0020-7462(94)90022-1
author: V. Pereyra
published in: International Journal of Non-Linear Mechanics
publication date: 1995-06-08T00:00:00Z
review text: The condition for a dynamical system to be asymptotically stable in probability can be determined from the behaviors of sample functions at or near two boundaries. Criteria are established to characterize various sample behaviors near each type of singular boundary. A procedure is also developed to obtain the conditions for the asymptotic stability of the statistical moments. Examples are given for illustration.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 707500
zbMATH Keywords: dynamical system
zbMATH Keywords: sample functions
zbMATH Keywords: singular boundary
zbMATH Keywords: asymptotic stability
MaRDI profile type: Publication
full work available at URL: 0020-7462(94)90022-1
OpenAlex ID: W2027823613
description: scientific article; zbMATH DE number 707500