https://upload.wikimedia.org/wikipedia/commons/f/f4/Tizian_060.jpg
Is there any special name or purpose to the rod shown in the picture? It was held by the 3rd Duke of Alba in nearly all of his portraits.
It's a field marshall's baton, for the one who would be commanding all the officers in the campaign- including generals. So, Alba would be pointing out to posterity that he was the guy in charge of all Spanish forces on the battlefield.