@ARTICLE{Tiwari_Archana_Controllabilty_2020,
 author={Tiwari, Archana and Bhattacharyya, Debanjana and Pati, K.C.},
 volume={vol. 30},
 number={No 3},
 journal={Archives of Control Sciences},
 pages={553–573},
 howpublished={online},
 year={2020},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={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.},
 type={Article},
 title={Controllabilty and stability analysis on a group associated with Black-Scholes equation},
 URL={http://ochroma.man.poznan.pl/Content/117710/PDF/art07.pdf},
 doi={10.24425/acs.2020.134677},
 keywords={Black-Scholes equation, Schrödinger equation, Lie group, optimal control, stability, numerical integration},
}