Detection of the Index and Discretization of Port-Hamiltonian Descriptor Systems

26 May 2025, 17:10
1h 50m
H2037 (TU Berlin)

H2037

TU Berlin

Speaker

Hanna Blazhko (Jagiellonian University)

Description

We provide a method for detecting Kronecker blocks of size two in port-Hamiltonian pencils of the form λE − (J − R)Q, where Q*E and R are positive definite, and J is skew-Hermitian.
The method is based on first-order perturbation theory and randomization. Furthermore, we study the impact of proximity to unstable systems on the numerical solutions (via the midpoint rule) of the corresponding DAE. This is joint work with Michał Wojtylak.

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