Containment Control in Extended Taylor Model

In this paper, we propose an extension to Taylor model of opinion dynamics in social networks. Motivated by bounded confidence models, we propose an extended Taylor model in which the influence graph is built based on the confidence levels of individuals. Furthermore, we establish a link between structural controllability of this model and containment of individuals’ opinions by the sources. In addition, an algorithm is proposed to find the minimum values of the confidence levels ensuring that structural controllability and containment can be achieved. An illustrative example is provided to verify the proposed scheme.