“…, where P is a n × n diagonal matrix and ω is a real positive scalar; see DeLellis et al, 2011) for each system, conditions on the interconnection structure of networks of perturbed nonlinear systems with undelayed di usive couplings are derived to achieve practical synchronization. The bene t of the results in Panteley and Loria (2017), Vromen et al (2016), Steur et al (2015), and Montenbruck et al (2015) is that they provide conceptual insights into the collective behavior of network-interconnected systems with model heterogeneity. However, few work has been done on the quantitative analysis of practical partial synchronization of interconnected systems, in particular, in the presence of delayed couplings.…”