Time Optimal Synthesis for Left--Invariant Control Systems on SO(3)

Ugo Boscain, Yacine Chitour

Consider the control system given by $\dot{x}=x(f+ug)$, where $x\in SO(3)$, $|u|\le 1$ and $f,g\in so(3)$ define two perpendicular left-invariant vector fields normalized so that $…