Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

Multi–agents systems describe the process of agreement (consensus) in a group of interacting agents. Recently, these systems are applied not only to the consensus, formation or flocking tasks of unmanned vehicles or simple robots but also are considered as a tool of modelling social in- teractions. In this presentation, a short survey of multi–agents systems under the consensus problem will be provided. Since the most representa- tive class of agent–based models explaining phenomena in social sciences are the opinion formation models, we focus on the Hegselmann–Krause (H-K) and Cucker–Smale (C-S) models. The control strategies for both cases will be considered. Some modification of H-K and C-S models will be also presented.