METT VIII - 8th Workshop on Matrix Equations and Tensor Techniques

Matrix Integral Equations Arising in Parametric Model Order Reduction

8 Nov 2019, 09:25

25m

Prigogine (MPI Magdeburg)

Talk Talks Day III

Speaker

Manuela Hund (Max Planck Institute for Dynamics of Complex Technical Systems)

Description

We consider $\mathcal{H}_2 \otimes \mathcal{L}_2$-optimal model order reduction of parametric linear time-invariant dynamical systems, where coupled matrix integral equations arise in the first-order necessary conditions (FONC). The quality of the reduced-order model is measured using the $\mathcal{H}_2$ norm for the parametric system, which is averaged in the $\mathcal{L}_2$-norm over the parameter domain.

We motivate the FONC and aim to satisfy them using an optimization-based approach that involves solving sequences of small-scale Lyapunov equations and tall and skinny Sylvester equations.