APPLICATION OF THE DRAZIN INVERSE TO THE ANALYSIS OF DESCRIPTOR FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS WITH REGULAR PENCILS

Tadeusz Kaczorek

Abstract

The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Bialystok University of Technology (PB)]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
- Politechnika Białostocka
Journal seriesInternational Journal of Applied Mathematics & Computer Science, ISSN 1641-876X
Issue year2013
Vol23
No1
Pages29-33
Publication size in sheets0.5
Keywords in EnglishDrazin inverse; descriptor; fractional system; discrete-time system; linear system
ASJC Classification2604 Applied Mathematics; 2201 Engineering (miscellaneous); 1701 Computer Science (miscellaneous)
DOIDOI:10.2478/amcs-2013-0003
LanguageEnglish
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 12-07-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 12-07-2020, ArticleFromJournal
Publication indicators GS Citations = 9.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 1.588; WoS Impact Factor: 2013 = 1.39 (2) - 2013=1.317 (5)
Citation count*9 (2015-01-25)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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