Generalized synchronization via multi-agent systems

This paper shows generalized multi-synchronization problem as a leader-following consensus problem from an algebraic point of view. Here, a multi-agent system is treated as a network of strictly different nonlinear systems with fixed and not strongly connected topology. This problem is solved using the differential primitive element as a linear combination of state measurements and control inputs. The former is necessary to construct a family of transformations to carry out the multi-agent network to a Generalized Observability Canonical Form Multi-output (GOCFM) and construct a dynamical controller able to asymptotically achieve consensus for all agents in the network.