This tutorial for RSiena might help you to assess the possibilities of SAOM techniques for your pourpose. It was created to help with the analysis of longitudinal networks:
Thanks for your response and for sharing this paper. I am not a mathematician but if i am correct this paper only concerns weighted static networks and not temporal/longitudinal networks?
Thank you for your reply. If I am correct, RSiena is, for now, only developped for binary longitudinal networks and weighted networks are not allowed...