Controllability criteria for time-delay fractional systems with a retarded state

• Autorzy: Sikora B.

Identyfikatory

DOI

10.1515/amcs-2016-0036

• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.

Słowa kluczowe

EN

fractional dynamical systems; controllability criteria; delays in the state; constraints; pseudotransition matrix; Caputo derivative

PL

układ dynamiczny ułamkowy; sterowalność; pochodna ułamkowego rzędu Caputo

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 3
• Strony: 521--531
• Opis fizyczny: Bibliogr. 44 poz.

Twórcy

autor

Sikora B.

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.