- Tytuł:
- Banach fixed-point theorem in semilinear controllability problems – a survey
- Autorzy:
-
Klamka, J.
Babiarz, A.
Niezabitowski, M. - Powiązania:
- https://bibliotekanauki.pl/articles/200909.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
complete controllability
Banach space
Hilbert space
fixed-point
infinite dimensional space
sterowność
przestrzeń Banacha
przestrzeń Hilberta - Opis:
- The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for various systems using the Banach fixedpoint theorem. We describe the results for stochastic semilinear functional integro-differential system, stochastic partial differential equations with finite delays, semilinear functional equations, a stochastic semilinear system, a impulsive stochastic integro-differential system, semilinear stochastic impulsive systems, an impulsive neutral functional evolution integro-differential system and a nonlinear stochastic neutral impulsive system. Finally, two examples are presented.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 21-35
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł