Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals. Furthermore, we provide some numerical examples t...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/143020 |
| Acesso em linha: | https://hdl.handle.net/11441/143020 https://doi.org/10.14232/ejqtde.2022.1.60 |
| Access Level: | acceso abierto |
| Palavra-chave: | stochastic delay systems almost sure practical stability decay function Lyapunov functional Itô formula |
| Resumo: | This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals. Furthermore, we provide some numerical examples to validate the effectiveness of the abstract results of this paper. |
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