On the relation of the Drazin inverse and matrix pencil theory methods for the study of generalized linear systems

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

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

In control theory, the methodology of the Drazin inverse and matrix pencil theory methods for generalized regular systems are extensively used. Thus, in this paper, a relation between the Drazin Inverse and the Weierstrass form of a regular pencil is derived and fully investigated.

Original languageEnglish
Pages (from-to)197-205
Number of pages9
JournalLinear Algebra and Its Applications
Volume427
Issue number2-3
DOIs
Publication statusPublished - 1 Dec 2007
Externally publishedYes

Keywords

  • Drazin inverse
  • Generalized linear systems
  • Matrix pencil theory

Cite this