Stability of stochastic differential delay systems with delayed impulses
type: Item
instance of: scholarly article
title: Stability of stochastic differential delay systems with delayed impulses
zbMATH Open document ID: 1469.60199
DOI: 10.1155/2014/481971
author: Yanlei Wu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on the \(p\)th moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses. Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. The effectiveness of the proposed results is illustrated by two examples.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K50
zbMATH DE Number: 7022461
zbMATH Keywords: delayed impulses
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/481971
OpenAlex ID: W1990478330
Wikidata QID: Q59038623
cites work: Q3995625
cites work: Stability results for impulsive differential systems with applications to population growth models
cites work: Lyapunov conditions for input-to-state stability of impulsive systems
cites work: Exponential stability of impulsive systems with application to uncertain sampled-data systems
cites work: Q3993076
cites work: Stability of impulsive differential systems
cites work: Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks
cites work: \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
cites work: Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach
cites work: Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
cites work: Global exponential stability of impulsive stochastic functional differential systems
cites work: Impulsive stabilization of stochastic functional differential equations
cites work: Exponential stability of impulsive stochastic functional differential equations
cites work: Razumikhin-Type Theorems on $p$th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations
cites work: Tracking control for sampled-data systems with uncertain time-varying sampling intervals and delays
cites work: Stability Criteria for Impulsive Systems With Time Delay and Unstable System Matrices
cites work: Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses
cites work: Exponential stability of nonlinear time-delay systems with delayed impulse effects
cites work: Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses
cites work: Exponential stability of impulsive stochastic functional differential systems with delayed impulses
description: scientific article; zbMATH DE number 7022461