DOI

We continue investigations on the Frobenius norm real stability radius computation started in the previous publication by the authors (LNCS, vol. 12291 (2020)). With the use of the elimination of variables procedure we reduce the problem to the univariate equation solving. The structure of the destabilizing perturbation matrix is also discussed as well as cases of symmetric and orthogonal matrices where the stability radius can be explicitly expressed via the matrix eigenvalues. Several examples are presented.

Original languageEnglish
Title of host publicationComputer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings
EditorsFrançois Boulier, Matthew England, Timur M. Sadykov, Evgenii V. Vorozhtsov
PublisherSpringer Nature
Pages192-208
Number of pages17
VolumeLNCS 12865
ISBN (Print)9783030851644
DOIs
StatePublished - 2021
EventComputer Algebra in Scientific Computing - Sochi, Russian Federation
Duration: 13 Sep 2021 → 17 Sep 2021
Conference number: 23

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12865 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceComputer Algebra in Scientific Computing
Abbreviated titleCASC 2021
Country/TerritoryRussian Federation
CitySochi
Period13/09/21 → 17/09/21

    Research areas

  • Distance to instability, Frobenius norm, Real destabilizing perturbation, Stability radius

    Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

ID: 85387433