- Tytuł:
- Control system defined by some integral operator
- Autorzy:
- Majewski, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255698.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Volterra equation
implicit function theorem
sensitivity - Opis:
- In the paper we consider a nonlinear control system governed by the Volterra integral operator. Using a version of the global implicit function theorem we prove that the control system under consideration is well-posed and robust, i.e. for any admissible control u there exists a uniquely defined trajectory xu which continuously depends on control u and the operator [formula] is continuously differentiable. The novelty of this paper is, among others, the application of the Bielecki norm in the space of solutions which allows us to weaken standard assumptions.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 2; 313-325
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł