Structural analysis of infinite-dimensional port-Hamiltonian systems with resistive ports (A03)

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

Energy decay rates and control of port-Hamiltonian systems are not sufficiently understood in infinite dimensions and thus require new mathematical tools. Motivated by the geometric theory of Dirac structures we model the energy loss by a resistive element which arises from the coupling of two so-called resistive ports. The structure of this coupling can be described in the language of operator theory, which opens the door for a detailed analysis of well-posedness, decay rates, and controllability in infinite dimensions.

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