- Tytuł:
- Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems
- Autorzy:
-
Stanisławski, R.
Latawiec, K. J. - Powiązania:
- https://bibliotekanauki.pl/articles/200325.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
Grünwald-Letnikov fractional difference
discrete-time fractional order system
stability criterion
non-minimum phase system
closed loop stability - Opis:
- This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f-poles and f-zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 363-370
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł