From finite to infinite-dimensional models (FI)

Our team has made some high impact contributions in the description of the limit, as the mesh sizes tend to zero, of numerical schemes for wave equations. These results also provide insight into the link between conservative finite and infinite-dimensional dynamical systems. We have also developed the theoretical control consequences of these facts, which show…

Optimal control applied to collective behaviour

The standard approach for solving a driving problem is a leadership strategy, based on the attraction that a driver agent exerts on other agent. Repulsion forces are mostly used for collision avoidance, defending a target or describing the need for personal space. We present a “guidance by repulsion” model describing the behaviour of two agents, a driver and an evader…