- Tytuł:
- Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach
- Autorzy:
- Khurshudyan, A. Zh.
- Powiązania:
- https://bibliotekanauki.pl/articles/229564.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
run
tumble
micro-swimmers
Green’s function of nonlinear equation
discontinuous - Opis:
- We study the exact and approximate controllabilities of the Langevin equation describing the Brownian motion of particles with a white noise. The Langevin equation is shown to describe also the bacterial run-and-tumble motion. Applying the Green’s function approach to the Green’s function representation of the Langevin equation, we obtain necessary and sufficient conditions for exact controllability in the form of a finite-dimensional problem of moments. For the approximate controllability, we obtain only sufficient conditions. The sets of resolving controls are characterized in both cases. The theoretical derivations are supported by a numerical analysis.
- Źródło:
-
Archives of Control Sciences; 2018, 28, 3; 335-347
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł