Infinite-dimensional port-Hamiltonian differential-algebraic systems (A01)

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

The aim is to develop a comprehensive analytical theory for infinite-dimensional port-Hamiltonian differential-algebraic systems. This includes the formulation of suitable solution concepts as well as the analysis of solvability, stability and dependence on initial values and inputs. In addition, a class of nonlinear differential-algebraic gradient systems is investigated from the port-Hamiltonian perspective, and a particular application focus is on coupled electromagnetic systems, which occur in electrical engineering, e.g. in investigations into electromagnetic compatibility.

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