Speaker
Description
Multiagent systems have attracted the attention of many researchers in recent years. Among them, there are the celebrated Hegselmann-Krause opinion formation model and its second-order version, the Cucker-Smale flocking model. Typically, for such systems, one is interested in investigating the asymptotic behavior of their solutions, namely the convergence to consensus for the Hegselmann-Krause model and the asymptotic flocking for the Cucker-Smale model. In such models, it is important to introduce time delay effects since time delays unavoidably appear as times needed to receive some information or reaction times. In this talk, we focus on a Cucker-Smale type model in presence of transmission-reaction delays. Unlike the existing related literature, the reaction delay and the transmission delay are allowed to have different sizes. Under suitable smallness conditions on the sizes of the time delays and on the initial conditions, we prove exponential flocking for the considered model.
