Kolomiichuk Oleg

-Zaporizhzhia State University, 2001, Applied Mathematics
-Zaporizhzhia State Engineering Academy, 2002, Finance

"Observation Problems in Nearly Conservative Dynamic Systems" 2010, 01.02.01 Theoretical Mechanics

A regulator for a gyroscopic system has been developed, implemented through solving the identification problem for continuous systems using the quasi-linearization method and the control design method for nearly conservative dynamic systems. The control law has been analytically derived, and the unknown coefficient matrices have been identified. Exact solutions to the orientation estimation problem have been obtained, ensuring the minimum of the given quality functional. For real observed gyroscopic objects, which are described by nearly conservative models, the state reconstruction problem has been solved. The result is achieved through the use of observers. An adaptive identification algorithm has been developed for determining the unknown system parameters. Optimal control for a discrete-continuous nearly conservative system has been constructed for a general form coefficient matrix that does not have multiple eigenvalues. Using the direct product and decomposition through series, a new approach to building the optimal regulator has been found. Stabilization control and optimal regulator algorithms have been developed for continuous nearly conservative systems. It has been shown that the asymptotic solution of the Riccati equation can be obtained in a finite number of steps. For the parameters of continuous parametric systems, the corresponding optimality intervals have been derived.

Institute of Mathematics of the National Academy of Sciences of Ukraine, Department of Mathematical Problems of Mechanics and Control Theory, since 2006.
Total experience of scientific work (in years) 24, including 18 at the institution.

Researcher Associate Professor of the Department of Medical Informatics (part-time) NMU named after Bogomolets Associate

Researcher Associate Professor of the Department of Information Systems and Technologies at (part-time) the University of the State Fiscal Service of Ukraine

Senior Lecturer of the Department of "Higher and Applied Mathematics" of the Zaporizhia State Academy and Deputy Head of the Information and Computing Center

Kolomiychuk O.P.“Identification of unknown parameters of a fully controlled noisy gyroscopic system” Institute of Mathematics of NAS of Ukraine Bogolyubov Kyiv Conference Problems of Theoretical and Mathematical Physics dedicated to the 115th anniversary of M.M. Bogolyubov (1909–1992) September 24–26, 2024 Kyiv, Ukraine

Kolomiychuk O.P. Adaptive identification of a controlled system with noisy input and a perturbed skew-symmetric coefficient matrix VI International Scientific Conference «MODERN PROBLEMS OF MECHANICS» 2021 Kyiv, Ukraine

Kolomiychuk O.P. CONTROL STRUCTURE FOR A LINEAR MATHEMATICAL MODEL OF A MULTI-PRODUCT ECONOMY II INTERNATIONAL TAX CONGRESS 2021 Irpin, Ukraine

Kolomiychuk O.P. «Dynamical system modeling and stability investigation»,Kyiv 2017 May 24-26

Kolomiychuk O.P. Nonlinear Analysis and applications. 4 th International Conference on memory of corresponding member af National Academy of Science of Kyiv 2018 4-6 April

Kolomiychuk O.P. Kalman filter for gyroscopic compass / O.P. Kolomiychuk, V.V. Novytsky // IV International scientific and technical conference "Gyro technologies, navigation, motion control and design of aerospace equipment", April 26-27, 2007. Kyiv K. NTUU KPI2007. – P. 354.

Kolomiychuk O.P. Luingberger filter for an almost conservative dynamic system / O.P. Kolomiychuk, V.V. Novytsky // X International conference "Stability, control and dynamics of a rigid body", June 5-10, 2008, Donetsk: Abstracts of reports. Institute of Applied Mathematics and Mechanics of the National Academy of Sciences, 2008. P. 48.

Kolomiychuk O.P. Construction of an observer and Lyapunov function for a gyroscopic compass model / O.P. Kolomiychuk, V.V. Novytsky // IX Crimean International School "The Lyapunov Function Method and Its Applications", September 15-21, 2008: Abstracts. Simferopol Tavrichesky National University, 2008. P. 75.

Kolomiychuk O.P. Observers of Almost Conservative Dynamical Systems / O.P. Kolomiychuk, V.V. Novytsky // International Conference "Dynamical system modeling and stability investigation", May 27-29, Kyiv 2009: Abstracts. Kyiv: Taras Shevchenko National University of Kyiv, 2009. P. 304.

Kolomiychuk O.P. Application of the second Lyapunov method for construction of an observer of an almost conservative dynamical system / O.P. Kolomiychuk, V.V. Novytsky // I Ukrainian Mathematical Congress 2009 (to the 100th anniversary of the birth of M. Bogolyubov), August 27-29, 2009. Kyiv: Abstracts of reports. – Kyiv: Institute of Mathematics of the NAS of Ukraine, 2009.