Practical stability with respect to a part of variables of stochastic differential equations
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical uniform pth moment exponential stability, as well as the global practical unif...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/116653 |
| Acceso en línea: | https://hdl.handle.net/11441/116653 https://doi.org/10.1080/17442508.2020.1773826 |
| Access Level: | acceso abierto |
| Palabra clave: | Stochastic systems Lyapunov techniques Itô formula Brownian motion non- trivial solution practical stability with respect to a part of the variables |
| Sumario: | In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical uniform pth moment exponential stability, as well as the global practical uniform exponential stability with respect to a part of the variables of SDEs are carried out by using the Lyapunov techniques. Some illustrative examples to show the usefulness of the stability with respect to a part of variables notion are also provided. |
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