POSITIVITY AND STABILITY OF FRACTIONAL DESCRIPTOR TIME-VARYING DISCRETE-TIME LINEAR SYSTEMS

Tadeusz Kaczorek

Abstract

The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
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 year2016
Vol26
No1
Pages5-13
Publication size in sheets0.5
Keywords in Englishfractional system; descriptor system; time-varying system; positive system; discrete-time system
ASJC Classification2604 Applied Mathematics; 2201 Engineering (miscellaneous); 1701 Computer Science (miscellaneous)
DOIDOI:10.1515/amcs-2016-0001
LanguageEnglish
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 11-07-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 11-07-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.377; WoS Impact Factor: 2016 = 1.42 (2) - 2016=1.597 (5)
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