Edit Profile (opens in new tab) Mazko, Alexey G. Co-Author Distance Author ID: mazko.alexey-g Published as: Mazko, A. G.; Mazko, Alexey G.; Mazko, A. more...less Homepage: https://www.imath.kiev.ua/~mazko/index.html Documents Indexed: 60 Publications since 1980, including 2 Books and 1 Additional arXiv Preprint Co-Authors: 19 Co-Authors with 10 Joint Publications 773 Co-Co-Authors all top 5 Co-Authors 50 single-authored 2 Boĭchuk, Oleksandr Andriĭovych 2 Martynyuk, Anatoliĭ Andriĭovych 1 Izobov, Nikolaĭ Alekseevich 1 Kharitonov, Vladimir Leonidovich 1 Korenevskij, D. G. 1 Kotov, T. O. 1 Kovalëv, Aleksandr Mikhaĭlovich 1 Kusii, S. N. 1 Lukovsky, Ivan Oleksandrovych 1 Martynyuk, V. M. 1 Navrodskii, V. A. 1 Perestyuk, Mykola Oleksiĭovych 1 Petryshyn, Roman I. 1 Shram, V. V. 1 Slyn’ko, Vitalii Ivanovich 1 Slyusarchuk, Vasyl Yukhimovich 1 Tymokha, Oleksandr Mykolaĭovych 1 Zhukovskiĭ, Vladislav Iosifovich 1 Zuyev, Aleksandr Leonidovich all top 5 Serials 13 Ukrainian Mathematical Journal 13 Ukraïns’kyĭ Matematychnyĭ Zhurnal 7 Nonlinear Dynamics and Systems Theory 3 Soviet Automatic Control 3 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 2 Automation and Remote Control 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Soviet Journal of Automation and Information Sciences 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 ELA. The Electronic Journal of Linear Algebra 1 Nonlinear Oscillations 1 Stability, Oscillations and Optimization of Systems all top 5 Fields 27 Systems theory; control (93-XX) 25 Ordinary differential equations (34-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 14 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 85 times in 62 Documents Cited by ▼ Year ▼ Matrix equations, spectral problems and stability of dynamic systems. Zbl 1152.93300 Mazko, A. G. 15 2008 Robust stability and stabilization of dynamic systems. Methods of matrix and cone inequalities. (Робастная устойчивость и стабилизация динамических систем.Методы матричных И конусных неравенств.) Zbl 1374.37003 Mazko, A. G. 9 2016 Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. Zbl 1177.93002 Kovalev, A. M.; Martynyuk, A. A.; Boichuk, O. A.; Mazko, A. G.; Petryshyn, R. I.; Slyusarchuk, V. Yu.; Zuyev, A. L.; Slyn’ko, V. I. 6 2009 The Lyapunov matrix equation for a certain class of regions bounded by algebraic curves. Zbl 0464.93030 Mazko, A. G. 5 1980 Evaluation of the weighted level of damping of bounded disturbances in descriptor systems. Zbl 1435.93046 Mazko, A. G. 5 2019 Construction of analogs of the Lyapunov equation for a matrix polynomial. Zbl 0937.34039 Mazko, A. G. 4 1995 Weighted estimation and reduction of the influence of bounded perturbations in descriptor control systems. Zbl 07361385 Mazko, A. G. 4 2021 Stability and stabilization of the family of pseudolinear differential systems. Zbl 1341.34066 Mazko, A. G.; Shram, V. V. 3 2011 Generalization of Lyapunov’s theorem for the class of regions bounded by algebraic curves. Zbl 0532.15014 Mazko, A. G. 3 1982 Robust stabilization and weighted damping of bounded disturbances in descriptor control systems. Zbl 1505.93203 Mazko, A. G.; Kotov, T. O. 3 2020 A control over spectral and optimal properties of linear systems. Zbl 0496.93032 Mazko, A. G. 2 1980 Spectrum localization of regular matrix polynomials and functions. Zbl 1207.15019 Mazko, A. G. 2 2010 Positivity, robust stability and comparison of dynamic systems. Zbl 1306.34137 Mazko, Alexey G. 2 2011 Stability criteria and localization of the matrix spectrum in terms of trace functions. Zbl 1345.93138 Mazko, A. G. 2 2015 Stability and comparison of states of dynamical systems with respect to a time-varying cone. Zbl 1095.37039 Mazko, A. G. 2 2005 Cone inequalities and stability of dynamical systems. Zbl 1241.37016 Mazko, A. G. 2 2011 The problem of distribution of the spectrum of a regular pencil of matrices. Zbl 0628.15007 Mazko, A. G. 2 1986 A criterion for containment of the spectrum of a matrix in an arbitrary region of some class. Zbl 0465.93032 Mazko, A. G. 1 1980 Cone inequalities and stability of differential systems. Zbl 1164.34023 Mazko, A. G. 1 2008 Stabilization by a measurable output and estimation of the level of attenuation for perturbations in control systems. Zbl 1358.93152 Mazko, A. G.; Kusii, S. N. 1 2017 Robust stability and evaluation of the quality functional for nonlinear control systems. Zbl 1322.93081 Mazko, A. 1 2015 An estimate of the location of the spectrum of a matrix relative to plane curves. Zbl 0582.15003 Mazko, A. G. 1 1985 Distribution of the spectrum of a regular matrix bundle with respect to plane curves. Zbl 0596.15008 Mazko, A. G. 1 1986 Weighted damping of external and initial disturbances in descriptor control systems. Zbl 1497.93053 Mazko, A. G. 1 2022 Weighted performance measure and generalized \(H_\infty\) control problem for linear descriptor systems. Zbl 1538.93012 Mazko, A. G. 1 2022 Transformations and inertia of solutions to linear matrix equations. Zbl 0821.15011 Mazko, A. G. 1 1993 Localization of the spectrum and representation of solutions of linear dynamical systems. Zbl 0941.34042 Mazko, A. G. 1 1998 Localization of spectrum and stability of certain classes of dynamical systems. Zbl 0941.34071 Mazko, A. G. 1 1996 Robust output feedback stabilization and optimization of discrete-time control systems. Zbl 1388.93046 Mazko, A. G. 1 2018 Evaluation and attainment of weighted performance measures in descriptor control systems. Zbl 1505.93053 Mazko, A. G. 1 2022 Semiinversion and properties of matrix invariants. Zbl 0656.15001 Mazko, A. G. 1 1988 Weighted damping of external and initial disturbances in descriptor control systems. Zbl 1497.93053 Mazko, A. G. 1 2022 Weighted performance measure and generalized \(H_\infty\) control problem for linear descriptor systems. Zbl 1538.93012 Mazko, A. G. 1 2022 Evaluation and attainment of weighted performance measures in descriptor control systems. Zbl 1505.93053 Mazko, A. G. 1 2022 Weighted estimation and reduction of the influence of bounded perturbations in descriptor control systems. Zbl 07361385 Mazko, A. G. 4 2021 Robust stabilization and weighted damping of bounded disturbances in descriptor control systems. Zbl 1505.93203 Mazko, A. G.; Kotov, T. O. 3 2020 Evaluation of the weighted level of damping of bounded disturbances in descriptor systems. Zbl 1435.93046 Mazko, A. G. 5 2019 Robust output feedback stabilization and optimization of discrete-time control systems. Zbl 1388.93046 Mazko, A. G. 1 2018 Stabilization by a measurable output and estimation of the level of attenuation for perturbations in control systems. Zbl 1358.93152 Mazko, A. G.; Kusii, S. N. 1 2017 Robust stability and stabilization of dynamic systems. Methods of matrix and cone inequalities. (Робастная устойчивость и стабилизация динамических систем.Методы матричных И конусных неравенств.) Zbl 1374.37003 Mazko, A. G. 9 2016 Stability criteria and localization of the matrix spectrum in terms of trace functions. Zbl 1345.93138 Mazko, A. G. 2 2015 Robust stability and evaluation of the quality functional for nonlinear control systems. Zbl 1322.93081 Mazko, A. 1 2015 Stability and stabilization of the family of pseudolinear differential systems. Zbl 1341.34066 Mazko, A. G.; Shram, V. V. 3 2011 Positivity, robust stability and comparison of dynamic systems. Zbl 1306.34137 Mazko, Alexey G. 2 2011 Cone inequalities and stability of dynamical systems. Zbl 1241.37016 Mazko, A. G. 2 2011 Spectrum localization of regular matrix polynomials and functions. Zbl 1207.15019 Mazko, A. G. 2 2010 Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. Zbl 1177.93002 Kovalev, A. M.; Martynyuk, A. A.; Boichuk, O. A.; Mazko, A. G.; Petryshyn, R. I.; Slyusarchuk, V. Yu.; Zuyev, A. L.; Slyn’ko, V. I. 6 2009 Matrix equations, spectral problems and stability of dynamic systems. Zbl 1152.93300 Mazko, A. G. 15 2008 Cone inequalities and stability of differential systems. Zbl 1164.34023 Mazko, A. G. 1 2008 Stability and comparison of states of dynamical systems with respect to a time-varying cone. Zbl 1095.37039 Mazko, A. G. 2 2005 Localization of the spectrum and representation of solutions of linear dynamical systems. Zbl 0941.34042 Mazko, A. G. 1 1998 Localization of spectrum and stability of certain classes of dynamical systems. Zbl 0941.34071 Mazko, A. G. 1 1996 Construction of analogs of the Lyapunov equation for a matrix polynomial. Zbl 0937.34039 Mazko, A. G. 4 1995 Transformations and inertia of solutions to linear matrix equations. Zbl 0821.15011 Mazko, A. G. 1 1993 Semiinversion and properties of matrix invariants. Zbl 0656.15001 Mazko, A. G. 1 1988 The problem of distribution of the spectrum of a regular pencil of matrices. Zbl 0628.15007 Mazko, A. G. 2 1986 Distribution of the spectrum of a regular matrix bundle with respect to plane curves. Zbl 0596.15008 Mazko, A. G. 1 1986 An estimate of the location of the spectrum of a matrix relative to plane curves. Zbl 0582.15003 Mazko, A. G. 1 1985 Generalization of Lyapunov’s theorem for the class of regions bounded by algebraic curves. Zbl 0532.15014 Mazko, A. G. 3 1982 The Lyapunov matrix equation for a certain class of regions bounded by algebraic curves. Zbl 0464.93030 Mazko, A. G. 5 1980 A control over spectral and optimal properties of linear systems. Zbl 0496.93032 Mazko, A. G. 2 1980 A criterion for containment of the spectrum of a matrix in an arbitrary region of some class. Zbl 0465.93032 Mazko, A. G. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 72 Authors 11 Mazko, Alexey G. 5 Gil’, Michael Iosif 4 Slyusarchuk, Vasyl Yukhimovich 3 Aleksandrov, Aleksandr Yur’evich 3 Gutman, Shaul 3 Kostić, Vladimir R. 2 Aliluiko, A. M. 2 Chen, Ming 2 Darijtchuk, I. V. 2 Kublanovskaya, Vera Nikolaevna 2 Li, Gang 2 Taub, Hedi 2 Yasynsky, V. K. 1 Andriyanova, Natal’ya Romanovna 1 Arzelier, Denis 1 Bachelier, Olivier 1 Benner, Peter 1 Bernussou, Jacques 1 Bo, Yu 1 Boĭchuk, Oleksandr Andriĭovych 1 Boudjedir, Chems Eddine 1 Boukhetala, Djamel 1 Bouri, Mohamed 1 Bringmann, Karl 1 Chouaib, I. 1 Chu, Moody T. 1 Denisenko, V. S. 1 Egorov, Alexey V. 1 Er’omenko, V. O. 1 Guerarra, Sihem 1 Hu, Guangda 1 Hu, Xiulin 1 Hu, Yongjian 1 Jasynsky, E. V. 1 Jonckheere, Edmond A. 1 Katauskis, Pranas 1 Keusch, Ralph 1 Kotov, T. O. 1 Kuntsevych, Vsevolod Mykhaĭlovych 1 Kupriyanchyk, L. V. 1 Kusiĭ, S. M. 1 Kusii, S. N. 1 Lengler, Johannes 1 Martynyuk, Anatoliĭ Andriĭovych 1 Maus, Yannic 1 Mazko, O. H. 1 Mazko, Oleksii 1 Międlar, Agnieszka 1 Molla, Anisur Rahaman 1 Nath Datta, Biswa 1 Navrodskii, V. A. 1 Paldi, Eytan 1 Panasenko, Yevhen 1 Peaucelle, Dimitri 1 Pokutnyĭ, Oleksandr Olekseevich 1 Pradin, Bernard 1 Pryz, A. M. 1 Salzo, Saverio 1 Seidel-Morgenstern, Andreas 1 Shram, V. V. 1 Simonova, V. N. 1 Skakauskas, Vladas 1 Slyn’ko, Vitalii Ivanovich 1 Slyusarchuk, L. M. 1 Stegehuis, Clara 1 Stolwijk, Jeroen J. 1 Stykel, Tatjana 1 Tian, Yongge 1 Wang, Liqi 1 Zhan, Xuzhou 1 Zinchuk, M. O. 1 Zuyev, Aleksandr Leonidovich all top 5 Cited in 31 Serials 11 Ukrainian Mathematical Journal 8 Journal of Mathematical Sciences (New York) 5 Linear Algebra and its Applications 3 Systems & Control Letters 3 Nonlinear Dynamics and Systems Theory 3 Nonlinear Oscillations 2 International Journal of Control 2 Numerical Algorithms 2 Automation and Remote Control 2 Cybernetics and Systems Analysis 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 SIAM Journal on Matrix Analysis and Applications 1 Applied Mathematical Modelling 1 International Journal of Robust and Nonlinear Control 1 Journal of Computer and Systems Sciences International 1 International Applied Mechanics 1 Filomat 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Nonlinear Analysis. Modelling and Control 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Mathematics all top 5 Cited in 19 Fields 35 Systems theory; control (93-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 7 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year