“…Based on the proposed three types of partial mixed impulses, the global mean square leader-following consensus problem is investigated for a class of stochastic networked multi-agent systems with unknown time-varying delays. Compared with the works of impulsive effects in uncoupled dynamical systems (Liu, Shen, & Zhang, 2011;Yang & Xu, 2007), complex networks (Guan, Liu, Feng, & Wang, 2010;Liu & Hill, 2011;Liu et al, 2013;Lu et al, 2012;Zhang, Tang et al, 2013) and networked control systems (Goebel et al, 2009;Nešić & Teel, 2004;Zhang, Gao et al, 2013), the main contributions of this paper are mainly threefold: (1) a novel concept of partial mixed impulses is proposed for the first time, which can encompass several well-known impulses (Guan et al, 2010;Liu & Hill, 2011;Lu et al, 2012;Yang & Xu, 2007);…”