Practical exponential stability of impulsive stochastic functional differential equations
This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional differential equations. The main tool used to prove the results is the Lyapunov-Razumikhin method which has proven very useful in dealing with stability problems for differential syst...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/67387 |
| Acceso en línea: | http://hdl.handle.net/11441/67387 https://doi.org/10.1016/j.sysconle.2017.09.009 |
| Access Level: | acceso abierto |
| Palabra clave: | Impulsive stochastic functional differential equations Almost sure practical exponential stability Lyapunov-Razumikhin method |
| Sumario: | This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional differential equations. The main tool used to prove the results is the Lyapunov-Razumikhin method which has proven very useful in dealing with stability problems for differential systems when the delays involved in the equations are not differentiable but only continuous. An illustrative example is also analyzed to show the applicability and interest of the main results. |
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