Consensus of Opinion Dynamics in Antagonistic Social Networks via a Delta Operator Approach

In this paper, a delta operator opinion dynamics model is established in social networks with antagonistic interactions. The opinion interactions of all individuals in the antagonistic social networks are characterized as a delta operator dynamics system with stubbornness. Consensus is analyzed for the delta operator opinion dynamics model based on Lyapunov methods in delta domain. Simulation results are given to illustrate effectiveness of the theoretical results for the delta operator opinion dynamics model.