Stability of stochastic functional differential equations with impulses by an average approach

DOI10.1016/j.nahs.2018.02.002zbMath1392.34087OpenAlexW2797486654WikidataQ59383984 ScholiaQ59383984MaRDI QIDQ1642339

Y. Aharonov

Publication date: 20 June 2018

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2018.02.002

zbMATH Keywords

stabilitystabilizationaverage impulsive intervalimpulsive stochastic system

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Averaging for functional-differential equations (34K33)

Related Items

\(p\)th-moment stability of stochastic functional differential equations with Markovian switching and impulsive control ⋮ Some criteria on exponential stability of impulsive stochastic functional differential equations ⋮ Stability of stochastic functional differential equations with impulses ⋮ Stability analysis for complex-valued stochastic delayed networks with Markovian switching and impulsive effects ⋮ Stability analysis of impulsive stochastic functional differential equations ⋮ Stability of complex-valued impulsive stochastic functional differential equations on networks with Markovian switching ⋮ Exponential stability theorems for discrete-time impulsive stochastic systems with delayed impulses ⋮ Stability analysis for stochastic complex-valued delayed networks with multiple nonlinear links and impulsive effects ⋮ Stability of stochastic discrete-time piecewise homogeneous Markov jump systems with time delay and impulsive effects ⋮ Input-to-state stability for impulsive stochastic nonlinear systems with delayed impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Input-to-state stability of impulsive stochastic delayed systems under linear assumptions
• \(p\)-th moment exponential stability of stochastic differential equations with impulse effect
• \(p\)th moment stability of impulsive stochastic delay differential systems with Markovian switching
• Exponential stability of impulsive stochastic functional differential equations
• Exponential \(p\)-stability of impulsive stochastic neural networks with mixed delays
• Global exponential stability of impulsive stochastic functional differential systems
• Impulsive stabilization of stochastic functional differential equations
• Exponential stability of impulsive nonlinear stochastic differential equations with mixed delays
• Mean square exponential stability of impulsive control stochastic systems with time-varying delay
• New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays
• Mean square stability analysis of impulsive stochastic differential equations with delays
• Exponential \(p\)-stability of impulsive stochastic differential equations with delays
• Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
• A unified synchronization criterion for impulsive dynamical networks
• Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations
• Almost sure exponential stability of neutral stochastic differential difference equations
• Stability analysis of some delay differential inequalities with small time delays and its applications
• \(p\)th moment exponential stability of impulsive stochastic functional differential equations with Markovian switching
• Impulsive stabilization of stochastic differential equations with time delays
• The \(p\)th moment exponential ultimate boundedness of impulsive stochastic differential systems
• Stability of impulsive stochastic differential equations with Markovian switching
• Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses
• Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay
• On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays
• Principles of Discontinuous Dynamical Systems
• Razumikhin-type theorems on stability of stochastic retarded systems
• 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
• Stability Analysis and Design of Impulsive Control Systems With Time Delay

This page was built for publication: Stability of stochastic functional differential equations with impulses by an average approach