- Tytuł:
- The existence of consensus of a leader-following problem with Caputo fractional derivative
- Autorzy:
- Schmeidel, Ewa
- Powiązania:
- https://bibliotekanauki.pl/articles/254771.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
leader-following problem
Caputo fractional differential equation
consensus, nonlinear system Schauder fixed point theorem - Opis:
- n this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given. The dynamics of each agent depends on the leader trajectory and others agents' inputs. Here, the leader-following problem is modelled by a system of nonlinear equations with Caputo fractional derivative, which can be rewritten as a system of Volterra equations. The main tools in the investigation are the properties of the resolvent kernel corresponding to the Volterra equations, and Schauder fixed point theorem. By study of the existence of an asymptotically stable solution of a suitable Volterra system, the sufficient conditions for consensus of the leader-following problem are obtained.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 1; 77-89
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł