- Tytuł:
- Controllabilty and stability analysis on a group associated with Black-Scholes equation
- Autorzy:
-
Tiwari, Archana
Bhattacharyya, Debanjana
Pati, K. C. - Powiązania:
- https://bibliotekanauki.pl/articles/229513.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
Black-Scholes equation
Schrödinger equation
Lie group
optimal control
stability
numerical integration - Opis:
- In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations. These type of studies are possible as Black-Scholes equation can be mapped to one dimensional free Schrödinger equation. In particular we have studied the controllability, optimal control of the resulting dynamics as well as stability aspects of this system. We have also found out the trajectories of the states of the system through two unconventional integrators along with conventional Runge-Kutta integrator.
- Źródło:
-
Archives of Control Sciences; 2020, 30, 3; 553-573
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł