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

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professorin Dr. Birgit Jacob; Professorin Dr. Claudia Totzeck