Synchronization of FitzHugh-Nagumo systems in EES via H∞ variable universe adaptive fuzzy control

In this paper, H∞ variable universe adaptive fuzzy control law is derived and applied to synchronize two FitzHugh-Nagumo neurons. Firstly, the different dynamical behavior of the nonlinear cable model based on the FitzHugh-Nagumo model responding to the various external electrical simulations (EES) is studied. Next, using the result of the analysis, a robust adaptive variable universe fuzzy control scheme is designed to synchronize two neurons. The computer simulations is provided for verify the efficiency of the designed synchronization scheme.