Inhalt des Dokuments
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.
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