Pseudospectra of Loewner Matrix Pencils

Mark Embree () and A. Cosmin Ioniţă ()
Additional contact information
Mark Embree: Academy of Integrated Science, Virginia Tech, Department of Mathematics and Computational Modeling and Data Analytics Division
A. Cosmin Ioniţă: The MathWorks Inc.

A chapter in Realization and Model Reduction of Dynamical Systems, 2022, pp 59-78 from Springer

Abstract: Abstract Loewner matrix pencils play a central role in the system realization theory of Mayo and Antoulas, an important development in data-driven modeling. The eigenvalues of these pencils reveal system poles. How robust are the poles recovered via Loewner realization? With several simple examples, we show how pseudospectra of Loewner pencils can be used to investigate the influence of interpolation point location and partitioning on pole stability, the transient behavior of the realized system, and the effect of noisy measurement data. We include an algorithm to efficiently compute such pseudospectra by exploiting Loewner structure.

Keywords: Generalized eigenvalue problem; Pseudospectra; System realization (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-95157-3_4

Ordering information: This item can be ordered from
http://www.springer.com/9783030951573

DOI: 10.1007/978-3-030-95157-3_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().