  We study Hegselmann-Krause type opinion formation models with non-universal
interaction and time-delayed coupling. We assume the presence of a common
influencer between two different agents. Moreover, we explore two cases in
which such an assumption does not hold but leaders with independent opinion are
present. By using careful estimates on the system's trajectories, we are able
to prove asymptotic convergence to consensus estimates. Some numerical tests
illustrate the theoretical results.
