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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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