Finite-time burst synchronization of time-delay neural system with parameters disturbed by periodic signal

Abstract

In this manuscript, finite-time burst synchronization of time-delay neuron system is investigated for two cases. In one case, parameters are known. In another case, parameters are unknown and some parameters are disturbed by periodic signal. The time to gain burst synchronization is derived and a factor affecting the synchronization time is given via theoretical analysis. The relationship between the time and the factor is described. Finally, simulation results are given to verify the effectiveness of the proposed methods.