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Hyperbolicity Radius of Time-Invariant Linear Systems

  • T. S. Doan
  • A. Kalauch
  • S. SiegmundEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 47)

Abstract

Hyperbolicity of linear systems of difference and differential equations is a robust property. We provide a quantity to measure the maximal size of perturbations under which hyperbolicity is preserved. This so-called hyperbolicity radius is calculated by two methods, using the transfer operator and the input–output operator.

Keywords

Hyperbolicoty radius Transfer operator input-output operator 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institute of MathematicsVietnam Academy of Science and TechnologyViet HanoiVietnam
  2. 2.Department for MathematicsInstitute for AnalysisDresdenGermany

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