Synchronization of delay bursting neuron system with stochastic noise via linear controllers

Synchronization of bursting neuron system with stochastic noise is investigated. When parameters are known, based on Lyapunov stability theory, via appropriate controllers, synchronization of delay Hindmarsh–Rose system with stochastic noise is obtained. When parameters are unknown, by adaptive control technique, corresponding parameter update laws are proposed to achieve synchronization of Hindmarsh–Rose system with stochastic noise. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed schemes.