\(p\)-moment stability of stochastic differential delay systems with impulsive jump and Markovian switching
type: Item
instance of: scholarly article
title: \(p\)-moment stability of stochastic differential delay systems with impulsive jump and Markovian switching
zbMATH Open document ID: 1299.93286
DOI: 10.1155/2013/401538
author: Lijun Gao
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: We investigate \(p\)-moment stability of the stochastic differential delay systems with impulsive jump and Markovian switching. Some stability criteria are obtained based on Lyapunov functional method and stochastic theory. It is shown that, even if all the subsystems governing the continuous dynamics without impulse are not stable, as impulsive and switching signal satisfies a dwell-time upper bound condition, impulses can stabilize the systems in the \(p\)-moment stability sense. The opposite situation is also developed for which all the subsystems governing the continuous dynamics are \(p\)-moment stable. The results can be easily applied to stochastic systems with arbitrarily large delays. The efficiency of the proposed results is illustrated by two numerical examples.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 6372269
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/401538
OpenAlex ID: W2075398134
Wikidata QID: Q59024466
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description: scientific article; zbMATH DE number 6372269