Limit Time Optimal Synthesis for a Control-Affine System on $S^2$

Paolo Mason, Rebecca Salmoni, Ugo Boscain +1

For $\alpha \in (0,\pi /2)$, let $(\Sigma {)}_{\alpha }$ be the control system $\dot{x}=(F+uG)x$, where $x$ belongs to the two-dimensional unit sphere $S^2$, $u\in [-1,1]$ and $F,G$ are $3\times 3$ skew-symm…