Viability in dynamic social networks

Networks are presented as controls in controlled dynamic systems. Viability is the property for a state x that there exists a trajectory starting from x and satisfying the constraints until the time horizon. To obtain this, c onnection matrices must be selected at each time and each visited state amo ng a specific set, the regulation map, which is carefully defined and built . Two examples, Sampson's monks and Padgett and Ansell' Florentines, illustra te the viability approach of dynamic networks. Notably, the relationship wi th centrality is studied. Historical processes involving networks are discu ssed.