Lag synchronization of bursting neuron systems with stochastic perturbation via adaptive feedback control

Lag synchronization of bursting neuron systems is explored when the system is subjected to stochastic perturbation. An adaptive feedback control scheme is presented when the parameters of the neuron systems are unknown. At the same time, an adaptive control law is obtained via theoretical derivation so that two slightly mismatched chaotic systems achieved asymptotically lag synchronization. The effectiveness of the proposed scheme is not only confirmed by theoretical analysis, but also verified by numerical simulations.