- Tytuł:
- Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach
- Autorzy:
-
Klamka, Jerzy
Avetisyan, Ara S.
Khurshudyan, Asatur Zh. - Powiązania:
- https://bibliotekanauki.pl/articles/229650.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
KdV equation
Boussinesq equation
Frasca’s method
short time expansion
traveling wave
heuristic method
distributed control
constrained controllability - Opis:
- In this paper, we study the constrained exact and approximate controllability of traveling wave solutions of Korteweg-de Vries (third order) and Boussinesq (fourth order) semi-linear equations using the Green’s function approach. Control is carried out by a moving external source. Representing the general solution of those equations in terms of the Frasca’s short time expansion, system of constraints on the distributed control is derived for both types of controllability. Due to the possibility of explicit solution provided by the heuristic method, the controllability analysis becomes straightforward. Numerical analysis confirms theoretical derivations.
- Źródło:
-
Archives of Control Sciences; 2020, 30, 1; 177-193
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł