Stochastic stabilization and destabilization
type: Item
instance of: scholarly article
title: Stochastic stabilization and destabilization
zbMATH Open document ID: 0820.93071
DOI: 10.1016/0167-6911(94)90050-7
author: Xuerong Mao
published in: Systems \& Control Letters
publication date: 1994-11-08T00:00:00Z
review text: This paper presents generalizations of previous results on the (de)stabilization by noise of systems to the nonlinear case. Continuous- time finite-dimensional nonlinear systems having a certain contractive property are considered and shown to be almost surely asymptotically stabilizable when perturbed by Brownian motion whose intensity can be adjusted. Also, it is shown that any system whose dimension is larger than one can be destabilized in the almost sure sense by proper choice of the intensity of the perturbing Brownian motion.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 683620
zbMATH Keywords: destabilization
zbMATH Keywords: stochastic stability
zbMATH Keywords: random disturbances
zbMATH Keywords: asymptotic stabilization
zbMATH Keywords: continuous-time
zbMATH Keywords: nonlinear
zbMATH Keywords: Brownian motion
reviewed by: Edwin Engin Yaz
MaRDI profile type: Publication
full work available at URL: 0167-6911(94)90050-7
OpenAlex ID: W2064645795
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description: scientific article; zbMATH DE number 683620