Synchronization of two Hindmarsh-Rose neurons with unknown parameters through adaptive output feedback controller

This paper introduces a new adaptive output feedback control scheme to synchronize two Hindmarsh-Rose neurons while all of the parameters of neural model are considered to be unknown. The controller signal will be only applied to the membrane potential of neuron and it is possible to measure this mentioned potential as the other states are not physical states. The adaptive controller will be proposed for two different kinds of synaptic connection in two separate cases since two distinct types of synapse exist. Strength of synaptic connection is considered unknown in both electrical and chemical synapse between two neurons. Using Lyapunov function, asymptotic synchronization of two coupled chaotic Hindmarsh-Rose Neurons will be proved. The performance of suggested adaptive controller will be validated through simulating in MATLAB.