Schauder’s fixed-point theorem in approximate controllability problems

• Autorzy: Babiarz A. , Klamka J. , Niezabitowski M.

Identyfikatory

DOI

10.1515/amcs-2016-0018

• Języki publikacji: EN

Abstrakty

EN

The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation.

Słowa kluczowe

EN

approximate controllability; Banach space; Hilbert space; Schauder's fixed point theorem; infinite dimensional space

PL

sterowalność aproksymacyjna; przestrzeń Banacha; przestrzeń Hilberta; twierdzenie o punkcie stałym; przestrzeń nieskończenie wymiarowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 2
• Strony: 263--275
• Opis fizyczny: Bibliogr. 53 poz.

Twórcy

autor

Babiarz A.

• Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland

autor

Klamka J.

• Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland

autor

Niezabitowski M.

• Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.