Main publications of A. G. Mazko

     Books:

  • 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"
    (Eds. A.A. Martynyuk, P. Borne and C. Cruz-Hernandez). 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):

  • 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, 373387 [Russian]. Article.pdf


  • Robust Stability and Evaluation of the Quality Functional for Nonlinear Control Systems. Automation and Remote Control (2015) Vol. 76, No. 2, 251263. Article.pdf


  • Stability criteria and localization of the matrix spectrum via trace functions. Ukr. Mat. Zh. (2014), Vol. 66, No 10, 13791386 [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, 163-176 (Co-author A.M. Aliluyko) [Ukrainian]. Article.pdf


  • Invariant cones and stability of linear dynamical systems. Ukr. Mat. Zh. (2006), Vol. 58, No 11, 1446-1461 [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, 13411351  [Russian].


  • Distribution of the spectrum and representation of solutions of degenerate dynamical systems. Ukr. Mat. Zh. (1998), Vol. 50, No 7,  930936  [Russian].


  • Localization of spectrum and stability of certain classes of dynamical systems. Ukr. Mat. Zh. (1996), Vol. 48, No 8, 10741079  [Russian].


  • Construction of analogs of the Lyapunov equation for matrix polynomial.   Ukr. Mat. Zh. (1995), Vol. 47, No 3, 337343. [Russian].


  • Splitting and localization of spectrum of a matrix polynomial.   Dokl. Akad. Nauk Ukrain. (1994), No 10, 1519  [Russian].


  • Transformations and inertia of solutions of linear matrix equations.   Ukr. Mat. Zh. (1993), Vol. 45, No 1, 6068  [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, 278282  [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, 3842 [Russian].


  • Generalization of Lyapunov theorem for domains bounded by algebraic and transcendental curves.  Automatica  (1985), No 3, 5055  [Russian].


  • Generalization of Lyapunov theorem for domains bounded by algebraic curves.   Automatica  (1982), No 1, 8991  [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, 5459. [Russian].


  • Lyapunov matrix equation for certain class of domains bounded by algebraic curves.  Automatica  (1980), No 3, 4550. [Russian].
(More than 125 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]


UpdatedDecember, 2016

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