Finite-time synchronization control relationship analysis for two classes of Markovian jump complex networks under feedback control

Abstract In this paper, finite-time synchronization problems for a class of nonlinear coupled Markovian jump delay time complex networks (NCMJDTCNs) with stochastic noises and a class of linear coupled Markovian jump delay time complex networks (LCMJDTCNs) with stochastic noises are investigated. Compared to the existing works [Li and Yang in IEEE Trans. Cybern. 46(1):171–180, 2016; Zhang et al. in Physica A 494:251–264, 2018; Liu and Chen in IEEE Trans. Neural Netw. Learn. Syst. 26(1):113–126, 2015; Jin et al. in IEEE Trans. Neural Netw. Learn. Syst. 23(9):1345–1355, 2012; Feng et al. in IEEE Access, 2018, https://doi.org/10.1109/ACCESS.2018.2836142; Tseng in Neural Netw. 86:18–31, 2017; Lei et al. in Neurocomputing 230:390–396, 2017; Cui et al. in J. Franklin Inst. 351:2543–2561, 2014; Wang et al. in Nonlinear Dyn. 79:47–61, 2015; Liu et al. in Neurocomputing 153:148–158, 2015], the main contribution of this paper consists of two new ideas which are applied to analyze a nonlinear coupling affecting synchronization dynamics of the NCMJDTCNs