AN ANGLE METRIC THROUGH THE NOTION OF GRASSMANN REPRESENTATIVE

作者:Kalogeropoulos Grigoris I*; Karageorgos Athanasios D; Pantelous Athanasios A
来源:Electronic Journal of Linear Algebra, 2009, 18(1): 108-116.
DOI:10.13001/1081-3810.1298

摘要

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 Plucker 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.

  • 出版日期2009-2

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