Stabilisation of linear PDEs by Stratonovich noise
Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense of Stratonovich are proved. The main result ensures that a deterministic linear PDE can be stabilised by adding a suitable Stratonovich noise if and only if the linear partial di...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23711 |
| Acceso en línea: | http://hdl.handle.net/11441/23711 https://doi.org/10.1016/j.sysconle.2004.02.020 |
| Access Level: | acceso abierto |
| Palabra clave: | Exponential stability stabilization Ito's noise Stratonovich's noise stochastic PDE |
| Sumario: | Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense of Stratonovich are proved. The main result ensures that a deterministic linear PDE can be stabilised by adding a suitable Stratonovich noise if and only if the linear partial di erential operator has negative trace. |
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