- Tytuł:
- Controllability criteria for time-delay fractional systems with a retarded state
- Autorzy:
- Sikora, B.
- Tematy:
-
fractional dynamical systems
controllability criteria
delays in the state
constraints
pseudotransition matrix
Caputo derivative
układ dynamiczny ułamkowy
sterowalność
pochodna ułamkowego rzędu Caputo - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Powiązania:
- https://bibliotekanauki.pl/articles/330421.pdf Link otwiera się w nowym oknie
- Opis:
- 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.
- Dostawca treści:
- Biblioteka Nauki
Artykuł