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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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Ezzine, Faten, Hammami, Mohamed Ali
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130379
Acesso em linha:https://hdl.handle.net/11441/130379
https://doi.org/10.1007/s10665-021-10164-w
Access Level:acceso abierto
Palavra-chave:Decay function
Itô formula
Lyapunov construction
Partial almost sure practical stability
Stochastic systems
Descrição
Resumo: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.