About stability of difference equations with square summable level of stochastic perturbations

DOI10.1080/10236198.2020.1734585zbMath1434.39013OpenAlexW3009329281MaRDI QIDQ5220689

Leonid Shaikhet

Publication date: 27 March 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2020.1734585

zbMATH Keywords

linear matrix inequalityLyapunov functionalsasymptotic mean square stabilityfading stochastic perturbationsmean square summability

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Stability theory for difference equations (39A30) Stochastic difference equations (39A50)

Related Items (4)

On contraction in mean square of stochastic difference systems with delays ⋮ Behavior of solution of stochastic delay differential equation with additive fading perturbations ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise ⋮ Stability of delay evolution equations with fading stochastic perturbations

Cites Work

• Unnamed Item
• About stability of delay differential equations with square integrable level of stochastic perturbations
• About stability of difference equations with continuous time and fading stochastic perturbations
• Lyapunov Functionals and Stability of Stochastic Difference Equations

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