- Tytuł:
- Different linear control laws for fractional chaotic maps using Lyapunov functional
- Autorzy:
-
Almatroud, A. Othman
Ouannas, Adel
Grassi, Giuseppe
Batiha, Iqbal M.
Gasri, Ahlem
Al-sawalha, M. Mossa - Powiązania:
- https://bibliotekanauki.pl/articles/2083459.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
discrete fractional calculus
chaotic map
linear control
Lyapunov method - Opis:
- Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps. This article provides a further contribution to such research field by presenting simple linear control laws for stabilizing three fractional chaotic maps in regard to their dynamics. Specifically, a one-dimensional linear control law and a scalar control law are proposed for stabilizing at the origin the chaotic dynamics of the Zeraoulia-Sprott rational map and the Ikeda map, respectively. Additionally, a two-dimensional linear control law is developed to stabilize the chaotic fractional flow map. All the results have been achieved by exploiting new theorems based on the Lyapunov method as well as on the properties of the Caputo h-difference operator. The relevant simulation findings are implemented to confirm the validity of the established linear control scheme.
- Źródło:
-
Archives of Control Sciences; 2021, 31, 4; 765-780
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł