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math.OC2024
Optimal Control of Reduced Left-Invariant Hybrid Control Systems
William Clark, Maria Oprea
Optimal control is ubiquitous in many fields of engineering. A common technique to find candidate solutions is via Pontryagin's maximum principle. An unfortunate aspect of this met…
math.OC2024
Optimal Control of Hybrid Systems with Submersive Resets
William Clark, Maria Oprea, Aden Shaw
Hybrid dynamical systems are systems which posses both continuous and discrete transitions. Assuming that the discrete transitions (resets) occur a finite number of times, the opti…