Controllability results for cascade systems of m coupled parabolic PDEs by one control force
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a unique distributed control is exerted on the system. We will see that, when a cascade system is considered, we can prove a global Carleman inequality for the adjoint system which b...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47919 |
| Acceso en línea: | http://hdl.handle.net/11441/47919 https://doi.org/10.4171/PM/1859 |
| Access Level: | acceso abierto |
| Palabra clave: | Controllability Cascade parabolic systems |
| Sumario: | In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a unique distributed control is exerted on the system. We will see that, when a cascade system is considered, we can prove a global Carleman inequality for the adjoint system which bounds the global integrals of the variable ϕ = (ϕ1, . . . , ϕm)∗ in terms of a unique localized variable. As a consequence, we will obtain the null controllability property for the system with one control force. |
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