Virtual constraints on Riemannian homogeneous spaces
Virtual constraints are relations imposed on a control system which insure invariance via feedback control, as opposed to physical constraints acting on the system. In this work, we introduce the notion of virtual constraints on Riemannian homogeneous spaces in a geometric framework which is a gener...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | IE |
| Repositorio: | Repositorio IE |
| OAI Identifier: | oai:repositorio.ie.edu:20.500.14417/4246 |
| Acceso en línea: | https://hdl.handle.net/20.500.14417/4246 https://www.sciencedirect.com/science/article/pii/S2405896324010024 |
| Access Level: | acceso abierto |
| Palabra clave: | 12 Matemáticas ODS 9 - Industria, innovación e infraestructura Virtual constraints feedback control Riemannian homogeneous spaces geometric control |
| Sumario: | Virtual constraints are relations imposed on a control system which insure invariance via feedback control, as opposed to physical constraints acting on the system. In this work, we introduce the notion of virtual constraints on Riemannian homogeneous spaces in a geometric framework which is a generalization of the classical controlled invariant distribution setting and we show the existence and uniqueness of a control law preserving the invariant distribution. We illustrate the theory with an example. |
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