Stability and stabilization of impulsive stochastic delay difference equations
type: Item
instance of: scholarly article
title: Stability and stabilization of impulsive stochastic delay difference equations
zbMATH Open document ID: 1189.93140
DOI: 10.1155/2010/592036
author: Liming Wang
author: Kai-Ning Wu
author: Xiaohua Ding
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/224066
review text: Summary: When an impulsive control is adopted for a Stochastic Delay Difference System (SDDS), there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken to make the system stable? Using the Lyapunov-Razumikhin technique, we establish criteria for the stability of impulsive stochastic delay difference equations and these criteria answer those questions. As for applications, we consider a kind of impulsive stochastic delay difference equation and present some corollaries to our main results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 39A60
zbMATH DE Number: 5701487
zbMATH Keywords: impulsive control
zbMATH Keywords: stochastic delay difference system
zbMATH Keywords: Lyapunov-Razumikhin technique
zbMATH Keywords: stability
Wikidata QID: Q58650841
MaRDI profile type: Publication
OpenAlex ID: W1985028297
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description: scientific article; zbMATH DE number 5701487