Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

• Autorzy: Kaczorek Tadeusz , Sajewski Łukasz

Identyfikatory

DOI

10.34768/amcs-2020-0047

• Języki publikacji: EN

Abstrakty

EN

Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse. Necessary and sufficient conditions for the pointwise completeness and pointwise degeneracy of descriptor continuous-time linear systems with different fractional orders are derived. It is shown that (i) the descriptor linear continuous-time system with different fractional orders is pointwise complete if and only if the initial and final states belong to the same subspace, (ii) the descriptor linear continuous-time system with different fractional orders is not pointwise degenerated in any nonzero direction for all nonzero initial conditions. Results are reported for the case of two different fractional orders and can be extended to any number of orders.

Słowa kluczowe

EN

descriptor system; fractional system; noncommensurate order; pointwise completeness; pointwise degeneracy

PL

system deskryptorowy; system ułamkowy; zupełność punktowa; degeneracja punktowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2020
• Tom: Vol. 30, no. 4
• Strony: 641--647
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Kaczorek Tadeusz

• Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351 Białystok, Poland

autor

Sajewski Łukasz

• Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351 Białystok, Poland

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