Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle

DOI10.1016/j.spl.2012.01.005zbMath1247.60100OpenAlexW2006329464MaRDI QIDQ426705

Fengqi Yao, Fei Qi Deng

Publication date: 11 June 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.01.005

zbMATH Keywords

exponential stabilityimpulsive stochastic functional equations

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic integral equations (60H20)

Related Items (7)

On input-to-state stability of impulsive stochastic systems ⋮ On input-to-state stability of impulsive stochastic systems with time delays ⋮ Stability analysis of impulsive stochastic functional differential equations with delayed impulses via comparison principle and impulsive delay differential inequality ⋮ Instability of impulsive stochastic systems with application to image encryption ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method ⋮ \(p\)th moment exponential stability of impulsive stochastic functional differential equations with Markovian switching ⋮ Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay
• Global exponential stability of impulsive stochastic functional differential systems
• Impulsive stabilization of stochastic functional differential equations
• New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays
• Global exponential stability of impulsive differential equations with any time delays
• LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
• Synchronization of chaotic delayed neural networks with impulsive and stochastic perturbations
• Global existence results for impulsive functional differential equations
• On stability in terms of two measures for impulsive systems of functional differential equations
• \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
• Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay
• Mean square stability analysis of impulsive stochastic differential equations with delays
• Complete controllability of impulsive stochastic integro-differential systems
• Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
• Robust stability and \(H_\infty \)-control of uncertain impulsive systems with time-delay
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach
• Razumikhin-Type Theorems on $p$th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations
• Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks
• Asymptotic stability of second-order neutral stochastic differential equations

This page was built for publication: Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle