- Tytuł:
- On the constrained and unconstrained controllability of semilinear Hilfer fractional systems
- Autorzy:
- Sikora, Beata
- Powiązania:
- https://bibliotekanauki.pl/articles/27312002.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
Hilfer fractional derivative
fractional systems
semilinear control systems
nonautonomous systems
Rothe's fixed point theorem
generalized Darbo fixed point theorem - Opis:
- In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function f depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.
- Źródło:
-
Archives of Control Sciences; 2023, 33, 1; 155--178
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł