Exponential stability in mean square of impulsive stochastic difference equations with continuous time

DOI10.1016/j.aml.2008.08.013zbMath1182.37031OpenAlexW2066056770MaRDI QIDQ1021816

Fuxing Wang, Jianhai Bao, Zhen Ting Hou

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.013

zbMATH Keywords

exponential stability in mean squareimpulsive stochastic difference equation

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Generation, random and stochastic difference and differential equations (37H10)

Related Items (7)

Asymptotic behavior of sample paths for retarded stochastic differential equations without dissipativity ⋮ Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory ⋮ The attracting set for impulsive stochastic difference equations with continuous time ⋮ Stability and synchronization analysis of neural networks via Halanay-type inequality ⋮ Stability and stabilization of impulsive stochastic delay difference equations ⋮ Convergence rate analysis of discrete-time Markovian jump systems ⋮ On the time-varying Halanay inequality with applications to stability analysis of time-delay systems

Cites Work

• \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
• Exponential \(p\)-stability of impulsive stochastic differential equations with delays
• Oscillatory properties of linear difference equations with continuous time
• Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
• Stability of stochastic differential equations with Markovian switching
• \(p\)-moment stability of stochastic differential equations with jumps
• Robust \(H_{\infty}\) filtering for uncertain impulsive stochastic systems under sampled measurements
• Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays
• Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
• Mean square exponential stability of impulsive stochastic difference equations
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