Main publications of A. G. Mazko

     Books:

  • Localization of Spectrum and Stability of Dynamic Systems. – Kiev: Institute of Mathematics,
    National Academy of Sciences of Ukraine. – 1999, 216 pp. 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 pp.

      Articles in journals (selected):

  • Localization of eigenvalues of polynomial matrices. Ukr. Mat. Zh. (2010), v. 62, N 8, 1063-1077 [Russian].


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


  • Comparison and ordering problems for dynamic systems set. Problems of Nonlinear Analysis in Engeneering Systems. (2010), v. 16, N 1(33), 1--8. Article.pdf


  • Cone inequalities and stability of differential systems. Ukr. Mat. Zh. (2008), v. 60, N 8, 1058-1074 [Russian]. Article.pdf


  • Invariant sets and comparison of dynamical systems. Nonlinear oscillations (2007), v. 10, N 2, 163-176 (Co-author A.M. Aliluyko) [Ukrainian]. Article.pdf


  • Invariant cones and stability of linear dynamical systems. Ukr. Mat. Zh. (2006), v. 58, N 11, 1446-1461 [Ukrainian]. Article.pdf


  • Stability and comparison of states of dynamic systems with respect to time-varying cone. Ukr. Mat. Zh. (2005), v. 57, N 2, 198-213 [Russian]. Article.pdf


  • Stability of positive and monotone systems in partially ordered space. Ukr. Mat. Zh. (2004), v. 56, N 4, 462-475 [Russian]. Article.pdf


  • Positive and monotone systems in partially ordered space. Ukr. Mat. Zh. (2003), v. 55, N 2, 164-173 [Russian]. Article.pdf


  • Stability and comparison of systems in partially ordered space.   Problems of Nonlinear Analysis in Engineering Systems (2002), v. 8, 1(15), 37–48.


  • Stability of linear positive systems. Ukr. Mat. Zh. (2001), v. 53, N 3, 323-330 [Russian]. Article.pdf


  • Localization of spectrum and representation of solutions of linear dynamic systems.   Ukr. Mat. Zh. (1998), v. 50, N 10, 1341–1351  [Russian].


  • Distribution of the spectrum and representation of solutions of degenerate dynamical systems. Ukr. Mat. Zh. (1998), v. 50, N 7,  930–936  [Russian].


  • Localization of spectrum and stability of certain classes of dynamical systems. Ukr. Mat. Zh. (1996), v.48,  N 8, 1074–1079  [Russian].


  • Construction of analogs of the Lyapunov equation for matrix polynomial.   Ukr. Mat. Zh. (1995), v. 47, N 3, 337–343. [Russian].


  • Splitting and localization of spectrum of a matrix polynomial.   Dokl. Akad. Nauk Ukrain. (1994), N 10, 15–19  [Russian].


  • Transformations and inertia of solutions of linear matrix equations.   Ukr. Mat. Zh. (1993), v. 45, N 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), v. 41, N.2, 278–282  [Russian].


  • Sami-inverse and properties of matrix invariants.   Ukr. Mat. Zh. (1988),  v.40, N.4 , 525-528  [Russian].


  • Distribution of spectrum of a regular matrix pencil with respect to plane curves.   Ukr. Mat. Zh. (1986), v. 38, N.1, 116-120   [Russian].


  • Evaluation of matrix spectrum location with respect to plane curves.  Ukr. Mat. Zh. (1985), v. 37, N 1, 38–42 [Russian].


  • Generalization of Lyapunov theorem for domains bounded by algebraic and transcendental curves.  Automatica  (1985), N 3, 50–55  [Russian].


  • Generalization of Lyapunov theorem for domains bounded by algebraic curves.   Automatica  (1982), N 1, 89–91  [Russian].


  • Matrix algorithm for design of optimal linear systems with specified properties.   Avtomat. i Telemech.  (1981),  N 5, 33–41  [Russian].


  • Criterion for localization of spectrum of a matrix in arbitrary domain from certain class.   Automatica  (1980), N 6, 54–59. [Russian].


  • Lyapunov matrix equation for certain class of domains bounded by algebraic curves.  Automatica  (1980), N 3, 45–50. [Russian].
(More than 100 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, Ukrain. 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:  April, 2011

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