Main publications of A.G. Mazko

     Books:

• Matrix Methods for the Analysis and Synthesis of Dynamical Systems.
  - Kyiv: Naukova dumka, 2023. - 320 p. [Ukrainian].
  https://doi.org/10.37863/6103136622-55
  Contents & Abstract (pdf) Book (pdf)



• Advances in Stability and Control Theory for Uncertain Dynamical Systems.
  An international book series "Stability, Oscillations and Optimization of Systems"
  (C. Cruz-Hernandez, A.A. Martynyuk, A.G. Mazko, Eds.). Vol. 11. - Cambridge: Cambridge Scientific Publishers Ltd, 2021. - XXII+317 pp.
  Contents & Abstract (pdf)



• Robust Stability and Stabilization of Dynamic Systems. Methods of Matrix and Cone Inequalities.
  Proceedings of the Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications. - Vol. 102. - Kyiv, 2016. - 332 p. [Russian]
  Contents & Abstract (pdf) Book (pdf)



• Matrix Equations, Spectral Problems and Stability of Dynamic Systems.
  An international book series "Stability, Oscillations and Optimization of Systems"
  (A.A. Martynyuk, P. Borne and C. Cruz-Hernandez, Eds.). Vol. 2. - Cambridge: Cambridge Scientific Publishers Ltd, 2008.- xx+270 p.
  Contents & Abstract (pdf) Book (pdf)



• Localization of Spectrum and Stability of Dynamic Systems.
  Proceedings of the Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications. — Vol. 28. — Kyiv, 1999. — 216 p. [Russian]
  Contents & Abstract (pdf) Book (pdf)

Articles in journals (selected):

• Evaluation of the weighted attenuation level of external and initial disturbances in nonlinear systems Ukr. Mat. Zh. (2024), Vol. 76, No 8, 1180-1191 [Ukrainian]. DOI: 10.3842/umzh.v76i8.8210. Article.pdf



• Synthesis of static controllers for controlled plants with exogenous disturbances Nonlinear Oscillations (2023), Vol. 26, No 4, 484-494 [Ukrainian]. Article.pdf



• Weighted performance measure and generalized H_infty control problem for linear descriptor systems Nonlinear Dynamics and Systems Theory (2022), Vol. 22, No 3, 303-318. Article.pdf



• Stability criteria and localization of the matrix spectrum via trace functions. Ukr. Mat. Zh. (2022), Vol. 74, No 7, 980-990 [Ukrainian]. DOI: 10.37863/umzh.v74i7.7167. Article.pdf



• Weighted damping of external and initial disturbances in descriptor control systems. Ukrainian Mathematical Journal (2022), Vol. 73, No 10, 1590-1606. DOI: 10.1007/s11253-022-02016-2. Article.pdf



• Robust output feedback stabilization and optimization of discrete-time control systems. In: Advances in Stability and Control Theory for Uncertain Dynamical Systems (Eds.: C. Cruz-Hernandez, A.A. Martynyuk and A.G. Mazko). Stability, Oscillations and Optimization of Systems. Cambridge Scientific Publishers, Vol. 11, 2021, 113-135. Article.pdf



• Robust output feedback stabilization and optimization of control systems. In: Advances in Stability and Control Theory for Uncertain Dynamical Systems (Eds.: C. Cruz-Hernandez, A.A. Martynyuk and A.G. Mazko). Stability, Oscillations and Optimization of Systems. Cambridge Scientific Publishers, Vol. 11, 2021, 37-62. Article.pdf



• Review of researches on mathematical problems of mechanics and control theory at Institute of Mathematics NAS of Ukraine. Ukr. Mat. Zh. (2021), Vol. 73, No 10, 1301-1316. (Co-authors I. A. Lukovsky, A. N. Timokha). [Ukrainian]. DOI: 10.37863/umzh.v73i10.6704. Article.pdf



• Weighted estimation and reduction of the influence of bounded perturbations in descriptor control systems. Ukrainian Mathematical Journal (2021), Vol. 72, No 11, 1742-1757. DOI: 10.1007/s11253-021-01885-3 Article.pdf



• Weighted evaluation and influence reduction of bounded perturbations in descriptor control systems. Ukr. Mat. Zh. (2020), Vol. 72, No 11, 1510-1523 [Ukrainian]. DOI: 10.37863/umzh.v72i11.2389 Article.pdf



• Robust stabilization and weighted suppression of the bounded disturbances in descriptor control systems. Ukr. Mat. Zh. (2019), Vol. 71, No 10, 1374-1388 [Ukrainian]. (Co-author T. O. Kotov). Article.pdf



• Evaluation for weighted damping level of the bounded disturbances in descriptor systems. Ukr. Mat. Zh. (2018), Vol. 70, No 11, 1541-1552 [Ukrainian]. Article.pdf



• Robust Output Feedback Stabilization and Optimization of Discrete-Time Control Systems. Nonlinear Dynamics and Systems Theory (2018), Vol. 18, No 1, 92-106. Article.pdf



• Output stabilization and weighted suppression of disturbances in discrete-time control systems. Problemy upravl. i inform. (2017), Vol. 17, No 6, 78-93 (Co-author S.N. Kusii) [Russian]. Article.pdf



• Robust Output Feedback Stabilization and Optimization of Control Systems. Nonlinear Dynamics and Systems Theory (2017), Vol. 17, No 1, 42-59. Article.pdf



• Robust stabilization and evaluation of the weighted suppression of disturbances nonlinear in control systems. Problemy upravl. i inform. (2016), No 6, 71-82 (Co-author S.N. Kusii) [Russian]. Article.pdf



• Stabilization by a Measurable Output and Estimation of the Level of Attenuation for Perturbations in Control Systems. Journal of Mathematical Sciences (2017) Vol. 220, No. 3, 318-333. Article.pdf



• Output Feedback Stabilization and Evaluation of the Level of Perturbations Suppression in Control Systems. Nonlinear Oscillations (2015) Vol. 18, No. 3, 373-387 [Russian]. Article.pdf



• Robust Stability and Evaluation of the Quality Functional for Nonlinear Control Systems. Automation and Remote Control (2015) Vol. 76, No. 2, 251-263. Article.pdf



• Stability criteria and localization of the matrix spectrum via trace functions. Ukr. Mat. Zh. (2014), Vol. 66, No 10, 1379-1386 [Russian]. Article.pdf



• Robust stabilization and evaluation of the performance index of nonlinear discrete control systems. Problemy upravl. i inform. (2013), No 3, 92-101 (Co-author L.V. Bogdanovich) [Russian]. Article.pdf



• Stability and stabilization of a set of pseudolinear differential systems. Nonlinear Oscillations (2011), Vol. 14, No 2, 227-237 (Co-author V.V. Shram) [Russian]. Article.pdf



• Cone Inequalities and Stability of Dynamical Systems. Nonlinear Dynamics and Systems Theory (2011), Vol. 11, No 3, 303-318. Article.pdf



• Localization of eigenvalues of polynomial matrices. Ukr. Mat. Zh. (2010), Vol. 62, No 8, 1063-1077 [Russian]. Article.pdf



• Spectrum Localization of Regular Matrix Polynomials and Functions. Electronic Journal of Linear Algebra. (2010), Vol. 20, 333-350. Article.pdf



• Comparison and ordering problems for dynamic systems set. Problems of Nonlinear Analysis in Engeneering Systems. (2010), Vol. 16, No 1(33), 1-8. Article.pdf



• Cone inequalities and stability of differential systems. Ukr. Mat. Zh. (2008), Vol. 60, No 8, 1058-1074 [Russian]. Article.pdf



• Invariant sets and comparison of dynamical systems. Nonlinear oscillations (2007), Vol. 10, No 2, 155-168 (Co-author A.M. Aliluyko). Article.pdf



• Invariant cones and stability of linear dynamical systems. Ukr. Mat. Zh. (2006), Vol. 58, No 11, 1446-1461 (Co-author A.M. Aliluyko). [Ukrainian]. Article.pdf



• Stability and comparison of states of dynamic systems with respect to time-varying cone. Ukr. Mat. Zh. (2005), Vol. . 57, No 2, 198-213 [Russian]. Article.pdf



• Stability of positive and monotone systems in partially ordered space. Ukr. Mat. Zh. (2004), Vol. 56, No 4, 462-475 [Russian]. Article.pdf



• Positive and monotone systems in partially ordered space. Ukr. Mat. Zh. (2003), Vol. 55, No 2, 164-173 [Russian]. Article.pdf



• Stability and comparison of systems in partially ordered space. Problems of Nonlinear Analysis in Engeneering Systems. (2002), Vol. 8, No 1(15), 37-48. Article.pdf



• Stability of linear positive systems. Ukr. Mat. Zh. (2001), Vol. 53, No 3, 323-330 [Russian]. Article.pdf



• Localization of spectrum and representation of solutions of linear dynamic systems. Ukr. Mat. Zh. (1998), Vol. 50, No 10, 1341-1351  [Russian].



• Distribution of the spectrum and representation of solutions of degenerate dynamical systems. Ukr. Mat. Zh. (1998), Vol. 50, No 7,  930–936  [Russian].



• Localization of spectrum and stability of certain classes of dynamical systems. Ukr. Mat. Zh. (1996), Vol. 48, No 8, 1074-1079  [Russian].



• Construction of analogs of the Lyapunov equation for matrix polynomial. Ukr. Mat. Zh. (1995), Vol. 47, No 3, 337-343. [Russian].



• Splitting and localization of spectrum of a matrix polynomial.   Dokl. Akad. Nauk Ukrain. (1994), No 10, 15-19  [Russian].



• Transformations and inertia of solutions of linear matrix equations.   Ukr. Mat. Zh. (1993), Vol. 45, No 1, 60-68  [Russian].



• A Compact form of the algebraic criterion for the delay-absolute stability of solutions of linear differential-difference equations. Ukr. Mat. Zh. (1989), Vol. 41, No 2, 278-282  [Russian].



• Sami-inverse and properties of matrix invariants. Ukr. Mat. Zh. (1988),  Vol. 40, No 4 , 525-528  [Russian].



• Distribution of spectrum of a regular matrix pencil with respect to plane curves. Ukr. Mat. Zh. (1986), Vol. 38, No 1, 116-120   [Russian].



• Evaluation of matrix spectrum location with respect to plane curves.  Ukr. Mat. Zh. (1985), Vol. 37, No 1, 38-42 [Russian].



• Generalization of Lyapunov theorem for domains bounded by algebraic and transcendental curves.  Automatica (1985), No 3, 50–55  [Russian].



• Generalization of Lyapunov theorem for domains bounded by algebraic curves. Automatica  (1982), No 1, 89-91  [Russian].



• Matrix algorithm for design of optimal linear systems with specified properties. Avtomatika i telemehanika (1981), No 5, 33-41  [Russian]. Article.pdf



• Criterion for localization of spectrum of a matrix in arbitrary domain from certain class.   Automatica (1980), No 6, 54-59. [Russian].



• Lyapunov matrix equation for certain class of domains bounded by algebraic curves.  Automatica  (1980), No 3, 45-50. [Russian].

(More than 150 papers in mathematical journals.)

Preprints, published contributions to academic conferences, etc.:

• Theory of a matrix spectrum distribution with respect to algebraic and transcendental curves. Preprint 83.5, Instituteof Mathematics, Ukraine. Academy of Sciences,  1983, 40 p. [Russian].



• Matrix equations and collectives. Preprint 89.83, Institute of Mathematics,   Ukrain. Academy of Sciences,   1989, 44 p. [Russian].



• To the distribution spectrum problem for a regular pencil of a matrices.  
  Direct methods in dynamics and stability problems of multivariable systems. Inst. Math. Ukrain Acad. Sci., Kiev, 1986, 99-110   [Russian]

Updated:  June, 2024

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