Stability,controllability of differential equations.
Main publications:
Lutsenko A. V., Skoryk V. A. Global null controllability of linear discrete systems // Visnik Khark. univ. - 1999. - ¹ 458. - 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. - ¹ 542. - p. 85–95.
Korobov V. I., Lutsenko A. V. Stabilization of linear authonom discrete systems // Visnik Khark. national. univ. - 2005. - ¹ 711. - p. 28–36.
V. I. Korobov, A. V. Lutsenko, “Robust stabilization of one class of nonlinear systems”, Avtomat. i Telemekh., 2014, no. 8, 99–112; Autom. Remote Control, 75:8 (2014), 1433–1444
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