Controlled synchronization of complex networks: A geometrical control approach

In this contribution we present the controlled synchronization of complex networks of dynamical systems using geometrical control issues. The controlled synchronization consists into induce a prescribed behavior onto the whole elements of the complex network. To this end, we propose a controller obtained from the geometrical control theory for nonlinear systems. The control action is applied only to a one or a small number of systems in the network but not to all. Thus, via the controlled systems the desired behavior is induced to the whole network. Simulation results are provided to corroborate the proposal.