Adaptive Control for Two-Agent Opinion Dynamics under Uncertainty

A model of opinion dynamics is considered, in which the trust between the agents is unknown and modeled using random variables with certain probability distributions. Additionally, there is a player whose goal is to maintain the agents’ opinions at a specific level. Initially, an optimal control is found in explicit form, assuming that the trust coefficients are known. Then this control is used at each step to obtain realizations of the random variables. Computer experiments have been conducted.