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Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays
Author(s) -
Tadeusz Kaczorek
Publication year - 2013
Publication title -
transnav the international journal on marine navigation and safety of sea transportation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.253
H-Index - 5
eISSN - 2083-6481
pISSN - 2083-6473
DOI - 10.12716/1001.07.02.08
Subject(s) - exponential stability , stability (learning theory) , mathematics , linear system , control theory (sociology) , positive systems , mathematical analysis , nonlinear system , computer science , physics , control (management) , quantum mechanics , machine learning , artificial intelligence
Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with many delays are established. It is shown that: 1) the asymptotic stability of the positive fractional system is independent of their delays, 2) the checking of the asymptotic stability of the positive fractional systems with delays can be reduced to checking of the asymptotic stability of positive standard linear systems without delays.

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