An angle metric through the notion of Grassmann representative

Grigoris I. Kalogeropoulos, Athanasios D. Karageorgos, Athanasios A. Pantelous

Research output: Contribution to journalArticleResearchpeer-review


The present paper has two main goals. Firstly, to introduce different metric topologies on the pencils (F, G) associated with autonomous singular (or regular) linear differential or difference systems. Secondly, to establish a new angle metric which is described by decomposable multi-vectors called Grassmann representatives (or Plücker coordinates) of the corresponding subspaces. A unified framework is provided by connecting the new results to known ones, thus aiding in the deeper understanding of various structural aspects of matrix pencils in system theory.

Original languageEnglish
Pages (from-to)108-116
Number of pages9
JournalElectronic Journal of Linear Algebra
Publication statusPublished - Jan 2009
Externally publishedYes


  • Angle metric
  • Exterior algebra
  • Grassmann manifold
  • Grassmann representative
  • Plücker coordinates

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