On the differential equation $\dot{\Theta }=({\Theta }^T-\Theta )\Theta$ with $\Theta \in SO(n)$

Gerd Simon Schmidt, Christian Ebenbauer, Frank Allgöwer

In this note we consider the global convergence properties of the differential equation $\dot{\Theta }=({\Theta }^T-\Theta )\Theta$ with $\Theta \in SO(n)$, which is a gradient flow of the function $f:SO(n)\rig…