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On stability of delayed differential systems of arbitrary non-integer order

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ma_9_1_kisela_final.pdf (795.9Kb)
Дата
2020
Автор
Kisela, Tomáš
Altmetrics
10.13164/ma.2020.03
Metadata
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Аннотации
This paper summarizes and extends known results on qualitative behaviorof solutions of autonomous fractional differential systems with a time delay. Itutilizes two most common definitions of fractional derivative, Riemann–Liouvilleand Caputo one, for which optimal stability conditions are formulated via positionof eigenvalues in the complex plane. Our approach covers differential systems ofany non-integer orders of the derivative. The differences in stability and asymptoticproperties of solutions induced by the type of derivative are pointed out as well.
Keywords
fractional delay differential system, stability, asymptotic behavior, Riemann–Liouville derivative, Caputo derivative
URI
http://hdl.handle.net/11012/195180
Document type
Peer reviewed
Document version
Final PDF
Source
Mathematics for Applications. 2020 vol. 9, č. 1, s. 31-42. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf
DOI
10.13164/ma.2020.03
Collections
  • 2020/1 [6]
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