Stability,controllability of differential equations.
Main publications:
Lutsenko A. V., Skoryk V. A. Global null controllability of linear discrete systems // Visnik Khark. univ. - 1999. - № 458. - p. 130–142.
Lutsenko A. V., Sklyar E. V. On analytical representation of klasses of controls solving the problems of controllability end stabilization // Visnik Khark. national. univ. - 2002. - № 542. - p. 85–95.
Korobov V. I., Lutsenko A. V. Stabilization of linear authonom discrete systems // Visnik Khark. national. univ. - 2005. - № 711. - p. 28–36.