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math.OC2026
Factor-parity Hall sets and controllability
Karine Beauchard, Frédéric Marbach
We introduce a class of Hall sets, which we call factor-parity Hall sets, whose elements split into good and bad brackets. We prove that the good brackets can be steered simultaneo…
math.OC2026
Some quartic control results for scalar-input systems
Karine Beauchard, Frédéric Marbach
We investigate the role of quartic terms in the small-time local controllability of scalar-input systems. First, we prove a new sufficient condition for controllability, which expl…
math.OC2026
Time-iteration methods for controllability
Frédéric Marbach
These notes are based on a short course delivered at the Summer School EUR MINT 2025 "Control, Inverse Problems and Spectral Theory", held in June 2025 in Toulouse, France. The cou…