On Reduced Input-Output Dynamic Mode Decomposition

Benner P, Himpe C, Mitchell T

Research article (journal) | Peer reviewed

Abstract

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior of the data source. In this work, we consider the input-output dynamic mode decomposition method for system identification. We compare excitation approaches for the data-driven identification process and describe an optimization-based stabilization strategy for the identified systems.

Details about the publication

JournalAdvances in Computational Mathematics (Adv. Comp. Math)
Volume44
Issue6
Page range1751-1768
StatusPublished
Release year2018
Language in which the publication is writtenEnglish
DOI10.1007/s10444-018-9592-x
KeywordsDynamic mode decomposition; Model reduction; System identification; Cross Gramian; Optimization

Authors from the University of Münster

Himpe, Christian
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)