Poincaré-Hopf theorem for hybrid systems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929559252762624 |
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| author | Kvalheim, Matthew D. |
| author_facet | Kvalheim, Matthew D. |
| contents | A generalization of the Poincaré-Hopf index theorem applicable to hybrid dynamical systems is obtained. For the hybrid systems considered, guard sets are not assumed to be smooth; distinct "modes" are not assumed to have constant dimension; and resets are arbitrary multivalued maps (relations). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_07434 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Poincaré-Hopf theorem for hybrid systems Kvalheim, Matthew D. Dynamical Systems Robotics Algebraic Topology 37C25, 47H10, 34A38, 93C30 A generalization of the Poincaré-Hopf index theorem applicable to hybrid dynamical systems is obtained. For the hybrid systems considered, guard sets are not assumed to be smooth; distinct "modes" are not assumed to have constant dimension; and resets are arbitrary multivalued maps (relations). |
| title | Poincaré-Hopf theorem for hybrid systems |
| topic | Dynamical Systems Robotics Algebraic Topology 37C25, 47H10, 34A38, 93C30 |
| url | https://arxiv.org/abs/2108.07434 |