At no time did any one person state, "I have control". I would have thought that would have been a critical statement, showing leadership and setting the command structure for the emergency, and stopping the confusion over who was actually in control.
Actually, the pilot in the left seat (Robert) did just that, at 02:11:37, when he exclaimed "Commandes à gauche!"
Unfortunately, the pilot in the right seat, probably in panic, kept his side stick at the full back position for two more minutes.