Abstract-We consider the opinion consensus problem using a multi-agent setting based on the Hegselmann-Krause (H-K) Model. Firstly, we give a sufficient condition on the initial opinion distribution so that the system will converge to only one cluster. Then, modified models are proposed to guarantee convergence for more general initial conditions. The overall connectivity is maintained with these models, while the loss of certain edges can occur. Furthermore, a smooth control protocol is provided to avoid the difficulties that may arise due to the discontinuous right-hand side in the H-K model.
Yang et al. REF studies the continuous opinion consensus problem and proposed modified models based on the Hegselmann-Krause Model to ensure overall connectivity.
Opinion consensus of modified Hegselmann-Krause models
2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
Computer Science Mathematics