Solution Sets of Geometric Hybrid Dynamical Systems: Topological Properties and Existence of Extremal Solutions
Daniel E. Ochoa, Piyush P. Jirwankar, R. Sanfelice
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Preprint
Sep 2026
Geometric Hybrid Dynamical Systems: Part I - Modeling and Stability
We present a framework for the modeling and analysis of geometric hybrid dynamical systems as hybrid inclusions on $C^1$-manifolds. Using tools from nonsmooth and set-valued analysis on manifolds, we derive coordinate-independent sufficient conditions for the existence of nontrivial solutions to this type of systems. W...
Piyush P. Jirwankar, Daniel E. Ochoa, R. Sanfelice
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