A.G.Mazko
Verified @imath.kiev.ua
3
Scopus Publications
37
Scholar Citations
1
Scholar h-index
1
Scholar i10-index
Scopus Publications
- Synthesis of Static Controllers for Controlled Objects with Exogenous Disturbances
Alexey Mazko
Springer Science and Business Media LLC - Evaluation and Attainment of Weighted Performance Measures in Descriptor Control Systems
A. G. Mazko
Springer Science and Business Media LLC - A Review of the Research into the Mathematical Problems of Mechanics and Control Theory at the Institute of Mathematics of the National Academy of Sciences of Ukraine
I. A. Lukovsky, A. G. Mazko, and A. N. Timokha
Springer Science and Business Media LLC - Weighted Damping of External and Initial Disturbances in Descriptor Control Systems
A. G. Mazko
Springer Science and Business Media LLC - Weighted Performance Measure and Generalized H
∞ Control Problem for Linear Descriptor Systems
- Weighted Estimation and Reduction of the Influence of Bounded Perturbations in Descriptor Control Systems
A. G. Mazko
Springer Science and Business Media LLC - Robust Stabilization and Weighted Damping of Bounded Disturbances in Descriptor Control Systems
A. G. Mazko and T. O. Kotov
Springer Science and Business Media LLC - Evaluation of the Weighted Level of Damping of Bounded Disturbances in Descriptor Systems
A. G. Mazko
Springer Science and Business Media LLC - Robust output feedback stabilization and optimization of discrete-time control systems
- Output stabilization and weighted suppression of disturbances in discrete-Time control systems
Alexey G. Mazko and Sergey N. Kusii
Begell House - Stabilization by a Measurable Output and Estimation of the Level of Attenuation for Perturbations in Control Systems
A. G. Mazko and S. N. Kusii
Springer Science and Business Media LLC - Robust output feedback stabilization and optimization of control systems
- Robust stabilization and evaluation of the weighted suppression of disturbances in control systems
Alexey G. Mazko and Sergey N. Kusii
Begell House - Stability criteria and localization of the matrix spectrum in terms of trace functions
A. G. Mazko
Springer Science and Business Media LLC - Robust stability and evaluation of the quality functional for nonlinear control systems
A. G. Mazko
Pleiades Publishing Ltd - Robust stabilization and evaluation of the performance index of nonlinear discrete control systems
Alexey G. Mazko and Lyudmila V. Bogdanovich
Begell House
New methods for analysis of robust stability and optimization of discrete output feed back control systems are developed. Sufficient stability conditions of the zero state are formulated with the joint quadratic Lyapunov function for a family of nonlinear systems with uncertain coefficient matrices and a measured output feedback. The so lution of general problem of robust stabilization and evaluation of the quadratic per formance criterion for a family of nonlinear discrete systems are proposed. Applying the results reduces to solving the systems of linear matrix inequalities. lloJIRK - Personage in science: Academician A.M. Samoilenko
- On the past ten years and the future development of nonlinear dynamics and systems theory (ND&ST)
- Cone inequalities and stability of dynamical systems
- Stability and stabilization of the family of pseudolinear differential systems
A. G. Mazko and V. V. Shram
Springer Science and Business Media LLC - Positivity, robust stability and comparison of dynamic systems
- Localization of eigenvalues of polynomial matrices
A. G. Mazko
Springer Science and Business Media LLC - Spectrum localization of regular matrix polynomials and functions
A. Mazko
University of Wyoming Libraries
This paper is devoted to the spectrum localization problem for regular matrix polynomials and functions. Sufficient conditions are proposed for spectrum placement in a wide class of regions bounded by analytical curves. These conditions generalize the known linear matrix inequalities (LMI) approaches to stability analysis and pole placement of polynomial matrices. In addition, a method of robust spectrum placement is developed in the form of the LMI systems for a parametric set of matrix polynomials. In this paper, we study the problem of spectrum localization for matrix poly- nomials and functions. We establish sufficient conditions for checkinglocation of all eigenvalues of regular matrix functions in specified regions of the complex plane. The results obtained essential complement and generalize the known approaches to pole placement of polynomial matrices reduced to the LMI technics (see, e.g., (5) and (3, Section 2.7)). Moreover, we expand the obtained results to a parametric set of matrix polynomials in the form of the LMI systems. Notation: ⊗, ∗, and T denote the matrix operations of the Kronecker pro- duct, complex conjugation and transposition, respectively; In is the identity n × n matrix; On and Onm denote the zero n × n and n × m matrix, respectively; the matrix inequalities X > Y , X ≥ Y , and XY mean that the matrix X − Y is po- - Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems
- Cone inequalities and stability of differential systems
A. G. Mazko
Springer Science and Business Media LLC
RECENT SCHOLAR PUBLICATIONS
- Synthesis of static controllers for controlled objects with exogenous disturbances
A Mazko
Journal of Mathematical Sciences, 1-12 2025 - Equivalent transformation and weighted -optimization of linear descriptor systems
AG Mazko
arXiv preprint arXiv:2412.20827 2024 - Оцінка зваженого рівня гасіння зовнішніх і початкових збурень у нелінійних системах
A Mazko
Ukrains’ kyi Matematychnyi Zhurnal 76 (8), 1180-1191 2024 - Оцінка зваженого рівня впливу обмежених збурень на якість дескрипторних дискретних систем керування
A Mazko
International Scientific Technical Journal" Problems of Control and 2023 - МАТРИЧНI МЕТОДИ АНАЛIЗУ ТА СИНТЕЗУ ДИНАМIЧНИХ СИСТЕМ
ОГ Мазко
2023 - Матричнi методи аналiзу та синтезу динамiчних систем
ОГ Мазко
Київ, Наукова думка, https://doi.org/10.37863/6103136622-55 2023 - Estimation of the weighted influence level of bounded disturbances on the quality of descriptor discrete-time control systems
AG Mazko
Problems of Control and Informatics 68 (1), 59-72 2023 - MATRIX METHODS FOR THE ANALYSIS AND SYNTHESIS OF DYNAMICAL SYSTEMS
AG Mazko
Kyiv, Naukova dumka, https://doi.org/10.37863/6103136622-55 2023 - Evaluation and attainment of weighted performance measures in descriptor control systems
AG Mazko
Ukrainian Mathematical Journal 74 (7), 1121-1133 2022 - Оцiнка та досягнення зважених критерiїв якостi у дескрипторних системах керування
AG Mazko
Ukrains’ kyi Matematychnyi Zhurnal 74 (7), 980-990 2022 - Weighted damping of external and initial disturbances in descriptor control systems
AG Mazko
Ukrainian Mathematical Journal 73 (10), 1590-1606 2022 - A Review of the Research into the Mathematical Problems of Mechanics and Control Theory at the Institute of Mathematics of the National Academy of Sciences of Ukraine.
IA Lukovsky, AG Mazko, AN Timokha
Ukrainian Mathematical Journal 73 (10) 2022 - Weighted Performance Measure and Generalized H∞ Control Problem for Linear Descriptor Systems
AG Mazko
Nonlinear Dynamics and Systems Theory 22 (3), 303-318 2022 - Зважене гасіння зовнішніх і початкових збурень у дескрипторних системах керування
AG Mazko
Ukrains’ kyi Matematychnyi Zhurnal 73 (10), 1377-1390 2021 - Огляд досліджень з математичних проблем механіки та теорії керування в Інституті математики НАН України
IA Lukovsky, AG Mazko, AN Timokha
Ukrains’ kyi Matematychnyi Zhurnal 73 (10), 1301-1316 2021 - Weighted estimation and reduction of the influence of bounded perturbations in descriptor control systems
AG Mazko
Ukrainian Mathematical Journal 72 (11), 1742-1757 2021 - Robust output feedback stabilization and optimization of discrete-time control systems
AG Mazko
Advances in Stability and Control Theory for Uncertain Dynamical Systems 11 2021 - Robust output feedback stabilization and optimization of control systems
AG Mazko
Advances in Stability and Control Theory for Uncertain Dynamical Systems 11 2021 - Зважена оцінка і пониження рівня впливу обмежених збурень у дескрипторних системах керування
AG Mazko
Ukrains’ kyi Matematychnyi Zhurnal 72 (11), 1510-1523 2020 - Robust stabilization and weighted damping of bounded disturbances in descriptor control systems
AG Mazko, TO Kotov
Ukrainian Mathematical Journal 71, 1572-1589 2020
MOST CITED SCHOLAR PUBLICATIONS
- РОБАСТНАЯ УСТОЙЧИВОСТЬ И СТАБИЛИЗАЦИЯ ДИНАМИЧЕСКИХ СИСТЕМ Методы матричных и конусных неравенств
АГ Мазко
Київ 2016
Citations: 43 - Matrix equations, spectral problems and stability of dynamic systems
AG Mazko
Cambridge Scientific Publishers 2008
Citations: 40 - Lyapunov matrix equations for a certain class of regions bounded by algebraic curves
AG Mazko
Soviet Automatic Control 13, 37/42 1980
Citations: 40 - Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems
AM Kovalev, AA Martynyuk, OA Boichuk, AG Mazko, RI Petryshyn, ...
Nonlinear Dynamics and Systems Theory 9 (2), 117-145 2009
Citations: 29 - Локализация спектра и устойчивость динамических систем
АГ Мазко
Пр. Iн-ту математики НАН України.–1999.–28.–216 с 1999
Citations: 28 - Localization of the Spectrum and Stability of Dynamic Systems
AG Mazko
Proceedings of the Institute of Mathematics of NAS of Ukraine 28 1999
Citations: 21 - Invariant cones and stability of linear dynamical systems
AM Aliluiko, OH Mazko
Ukrainian Mathematical Journal 58 (11), 1635-1655 2006
Citations: 18 - Cone inequalities and stability of dynamical systems
AG Mazko
Nonlinear dynamics and systems theory 11 (3), 303-318 2011
Citations: 16 - Stability and comparison of states of dynamical systems with respect to a time-varying cone
AG Mazko
Ukrainian Mathematical Journal 57 (2), 232-249 2005
Citations: 16 - Robust Stabilization and Evaluation of the Performance Index of Nonlinear Discrete Control Systems
AG Mazko, LV Bogdanovich
Journal of Automation and Information Sciences 45 (5) 2013
Citations: 15 - Generalization of the Lyapunov Theorem for a Class of Domains Restricted by Algebraic Curves.
AG Mazko
AVTOMATIKA., 85-87 1982
Citations: 15 - Stability of linear positive systems
AG Mazko
Ukrainian Mathematical Journal 53 (3), 368-376 2001
Citations: 14 - Stabilization by a Measurable Output and Estimation of the Level of Attenuation for Perturbations in Control Systems
AG Mazko, SN Kusii
Journal of Mathematical Sciences 220 (3), 318-333 2017
Citations: 13 - Robust stability and evaluation of the quality functional for nonlinear control systems
AG Mazko
Automation and Remote Control 76, 251-263 2015
Citations: 12 - Робастная устойчивость и оценка функционала качества нелинейных систем управления
АГ Мазко
Автоматика и телемеханика, 73-88 2015
Citations: 11 - Стабилизация по выходу и взвешенное подавление возмущений в дискретных системах управления
АГ Мазко, СН Кусий
Проблемы управления и информатики, 78-93 2017
Citations: 10 - Робастна стiйкiсть i оптимiзацiя нелiнiйних систем керування
ОГ Мазко, ЛВ Богданович
Аналiтична механiка та її застосування: Зб. пр. Iн-ту математики НАН України 2012
Citations: 10 - Устойчивость позитивных и монотонных систем в полуупорядоченном пространстве
АГ Мазко
Український математичний журнал 2004
Citations: 9 - Semiinversion and properties of matrix invariants
AG Mazko
Ukrainian Mathematical Journal 40, 452-454 1988
Citations: 9 - Cone inequalities and stability of differential systems.
A Mazko
Ukrainian Mathematical Journal 60 (8) 2008
Citations: 8