2 papers
math.OC2025
Using infinitesimal symmetries for determining the first Maxwell time of geometric control problem on SH(2)
Soukaina Ezzeroual, Brahim Sadik
In this work, we utilize infinitesimal symmetries to compute Maxwell points which play a crucial role in studying sub-Riemannian control problems. By examining the infinitesimal sy…
math.AC2022
A simple and constructive proof to a generalization of Lüroth's theorem
François Ollivier, Brahim Sadik
A generalization of L{ü}roth's theorem expresses that every transcendence degree 1 subfield of the rational function field is a simple extension. In this note we show that a classi…