A02: Port-Hamiltonian interacting particle systems: mean-field limit and control

Principal investigators:

Prof. Dr. Birgit Jacob; Prof. Dr. Claudia Totzeck

Project description:

Interacting particle systems model the collective behavior of many individuals by describing only binary interactions, and therefore serve as a mathematical model for e.g. pedestrian dynamics, flocks of birds or sheep. We use the port-Hamiltonian formulation of these systems to relax the conditions for the existence of solutions and to design structure-preserving controls. We consider the particle as well as the mean-field level and link our results via a convergence analysis as the number of individuals tends to infinity.

Researchers:

M.Sc. Daniel Happ; B.Sc. Jannik Daun

Publications of project A02: