Partial stability analysis of stochastic differential equations with a general decay rate

This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functions. Finally, we provide a numerical example to demonstrate the eff...

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Bibliographic Details
Authors: Caraballo Garrido, Tomás, Ezzine, Faten, Hammami, Mohamed Ali
Format: article
Status:Published version
Publication Date:2021
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130379
Online Access:https://hdl.handle.net/11441/130379
https://doi.org/10.1007/s10665-021-10164-w
Access Level:Open access
Keyword:Decay function
Itô formula
Lyapunov construction
Partial almost sure practical stability
Stochastic systems
Description
Summary:This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functions. Finally, we provide a numerical example to demonstrate the efficiency of the obtained results.