@ARTICLE{Khurshudyan_Asatur_Zh._Exact_2018,
 author={Khurshudyan, Asatur Zh.},
 volume={vol. 28},
 number={No 3},
 journal={Archives of Control Sciences},
 pages={335–347},
 howpublished={online},
 year={2018},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={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.},
 type={Artykuły / Articles},
 title={Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach},
 URL={http://www.czasopisma.pan.pl/Content/108825/PDF/ACS-2018-3-1.pdf},
 doi={10.24425/acs.2018.124706},
 keywords={run, tumble, micro-swimmers, Green’s function of nonlinear equation, discontinuous control},
}