Poincaré-Hopf theorem for hybrid systems

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2108.07434.pdf (352.06 KB)

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https://arxiv.org/abs/2108.07434

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https://doi.org/10.48550/arXiv.2108.07434
 http://hdl.handle.net/11603/30373

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0002-2662-6760

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2021-08-17

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journal articles
preprints
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Abstract

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).