Opinion dynamics in multiagent systems with optimal choice of opinion verification moments

In this paper, we consider a model of opinion dynamics in the social network, that is a multiagent system with finite number of agents. There exists a center of influence on agent's opinion by choosing control, which is an influence level at every time period. In the model, center's costs are represented by a linear-quadratic function of a state variable and its controls. The center of influence aims to choose a finite number of opinion verification moments to compare agents' opinion with the target one. We provide a solution of this dynamic problem. In the numerical simulations, we show how to find optimal opinion verification moments, corresponding optimal state trajectories and controls.