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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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Ezzine, Faten, Hammami, Mohamed Ali
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130379
Acceso en línea:https://hdl.handle.net/11441/130379
https://doi.org/10.1007/s10665-021-10164-w
Access Level:acceso abierto
Palabra clave:Decay function
Itô formula
Lyapunov construction
Partial almost sure practical stability
Stochastic systems
Descripción
Sumario: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.