Synchronization of a nonlinear multi-agent system with application to a network composed of Hindmarsh-Rose neurons

This paper discusses synchronization of a network composed of agents that are nonlinear and minimum phase. The main tool is feedback linearization. The results are applied to the problem of synchronization of a network composed of Hindmarsh-Rose neurons. Using the developed scheme, it is demonstrated that synchronization is achieved by considering the membrane potential only, the fact that the neuron is a minimum-phase nonlinear system implies that the other states are synchronized as well. The results are illustrated by simulations.