A2: Analysis and computation of stability exponents for port-Hamiltonian delay differential-algebraic equations

Principal investigator:

Prof. Dr. Volker Mehrmann [1]

Project summary:

Delay differential-algebraic equations (DDAEs) arise in a variety of applications including flow control,
biological systems, and power networks. In many of the applications it is advantageous to formulate
the DDAEs via a model hierarchy of port-Hamiltonian (pH) DDAE models. We will study existence,
uniqueness and sensitivity for such pHDDAEs, in particular those where the interconnection of subsystems
is delayed. We will derive variational formulations and study the resulting operator pH DDAEs with
respect to space-time discretization and control. In particular we will derive model reduction techniques
and methods for the estimation of stability regions for pHDDAEs.