Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems

Tadeusz Kaczorek


The positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of descriptor linear and sufficient conditions for nonlinear systems are established. Using an extension of Lyapunov method sufficient conditions for the stability of positive nonlinear systems are given. The considerations are extended to fractional nonlinear systems.
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 Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339
Issue year2018
Publication size in sheets0.5
Keywords in Englishdescriptor; linear; nonlinear; fractional; system; positivity; stability
ASJC Classification2604 Applied Mathematics; 3100 General Physics and Astronomy; 2211 Mechanics of Materials; 2201 Engineering (miscellaneous); 2611 Modelling and Simulation; 2206 Computational Mechanics; 3109 Statistical and Nonlinear Physics
Score (nominal)30
Score sourcejournalList
ScoreMinisterial score = 30.0, 11-07-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.51; WoS Impact Factor: 2018 = 1.033 (2) - 2018=1.106 (5)
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