arXiv:2108.07434
Poincar\'{e}-Hopf theorem for hybrid systems
Poincar\'{e}-Hopf theorem for hybrid systems
著者: Matthew D. Kvalheim
分類: math.DS, cs.RO, math.AT
原文アブストラクト
A generalization of the Poincar\'{e}-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).