Geometric Hybrid Dynamical Systems: Part I - Modeling and Stability

arXiv:2609.17687 · math.DS, cs.SY, eess.SY, math.DG · Submitted 2026-09-15 · Read on arXiv

math.DS, cs.SY, eess.SY, math.DG

Submitted: 2026-09-15

Updated: 2026-09-17

Comments: 28 pages, 4 figures. Under review at IEEE Transactions on Automatic Control

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hybrid System — 32× in this paper · explained in 2 episodes
• Lyapunov function — 14× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Abstraction — 1× in this paper · explained in 1 episode
• Annual Conference on Decision and Control — 1× in this paper
• Closed-Loop System — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Riemannian optimization — 1× in this paper · explained in 2 episodes

Sources

• On the irreducibility and convergence of a class of nonsmooth nonlinear state-space models on manifolds and their applications to zeroth-order optimization

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