- Tytuł:
- Stability conditions for linear continuous-time fractional-order state-delayed systems
- Autorzy:
- Busłowicz, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/200015.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
linear system
fractional
continuous-time
state delay
asymptotic stability
systemy liniowe
stabilność asymptotyczna
opóźnienie czasowe - Opis:
- The stability problem of continuous-time linear fractional order systems with state delay is considered. New simple necessary and sufficient conditions for the asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix and time delay. It is shown that in the complex plane there exists such a region that location in this region of all eigenvalues of the state matrix multiplied by delay in power equal to the fractional order is necessary and sufficient for the asymptotic stability. Parametric description of boundary of this region is derived and simple new analytic necessary and sufficient conditions for the stability are given. Moreover, it is shown that the stability of the fractional order system without delay is necessary for the stability of this system with delay. The considerations are illustrated by a numerical example.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 3-7
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł