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

Nov 6 – 8, 2019
MPI Magdeburg
Europe/Berlin timezone

## Matrix Integral Equations Arising in Parametric Model Order Reduction

Nov 8, 2019, 9:25 AM
25m
Prigogine (MPI Magdeburg)

### Prigogine

#### MPI Magdeburg

MPI for Dynamics of Complex Technical Systems Sandtorstr. 1 39106 Magdeburg
Talk Talks

### 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.

### Primary author

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

### Co-authors

Tim Mitchell (Max Planck Institute for Dynamics of Complex Technical Systems) Petar Mlinarić (Max Planck Institute for Dynamics of Complex Technical Systems) Jens Saak (Max Planck Institute for Dynamics of Complex Technical Systems)

### Presentation materials

There are no materials yet.