A01: Infinite-dimensional port-Hamiltonian differential-algebraic systems

Principal investigators:

Prof. Dr. Birgit Jacob; Prof. Dr. Timo Reis

Project description:

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.
 

Researchers:

M.Sc. Anna Maria Fischer (Ilmenau)

Publications of Project A01: