Sergey Lyashko




Sergey Lyashko

POSITION
Head of the Department of Computational Mathematics, correspondent member of the National Academy of Sciences of Ukraine, Professor

WORK EXPERIENCE
1977–1991
from engineer to primary constructor
V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences , Kyiv (Ukraine)

1991–Present
Head of the Department of Computational Mathematics
Taras Shevchenko National University of Kyiv, Kyiv (Ukraine)

EDUCATION AND TRAINING

1972–1977
Master Degree in Mathematics
Taras Shevchenko National University of Kyiv, Kyiv (Ukraine)

1977–1981
Ph.D
V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences , Kyiv (Ukraine)

1990
Doctor of Science in Physics and Mathematics
V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences, Kyiv (Ukraine)

Simulation and Optimal Control of Linear Systems with Distributed Parameters

Research Fields:
Mathematics

Previous and Current Research

1. Theory and Methods for Solving Singular Optimal Control Problems

2. Generalized Solutions of Operator Equations and Extreme Elements

Main directions of scientific activity are development of the theory and methods of solution to problems of singular optimal control of the linear systems. Within the uniform approach based on use of the apparatus of the equipped Hilbert spaces and inequalities in negative norms of a finite order, a series of systems which are described by both the classic and nonclassic equations of mathematical physics with right-side parts in the form of the generalized functions are investigated. 

Future Projects and Goals

One of the future directions of scientific activity is development of efficient methods for solving of variational inequalities, equilibrium problems, bilevel optimization problems, optimal control problems. Also planned application developed methods in the optimization of systems described by partial integro-differential equations and solving problems related to medical image processing and machine learning.

Further research into the heat and mass transmission processes taking place under the impact of different concentrated forces and in domains with thin low-permeable insertions is going to be conducted. 

Methodological and Technical Expertise

  • Simulation of systems with distributed parameters
  • Optimal control of systems with distributed parameters
  • Optimization methods

Selected Publications


Lyashko S.I.
Generalized Optimal Control of Linear Systems with Distributed Parameters
Dordrecht, Boston, London.- Kluwer Academic Publishers.-2002.- 455p.

Klyushin D.A., Lyashko S.I., Nomirovskii D.A., Petunin Yu. I., Semenov V.V.
Generalized Solutions of Operator Equations and Extreme Elements.
Springer, 2012. – 202+xxi p.

Sergey Lyashko, Dmitry Klyushin, Dmitry Nomirovsky.
Identification of age-structured contamination sources in ground water
In: Optimal Control of Age-Structured Populations in Economy, Demography, and the Environment (eds. R. Boucekkinie, N. Hritonenko & Y. Yatsenko). Routledge, UK, 2010, p. 277-292.

Lyashko S.I., Semenov V.V.
A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming
In: Optimization and Applications in Control and Data Sciences (ed. B.Goldengorin), Springer Optimization and Its Applications, volume 115, P. 315-326.

5. Lyashko S.I., Klyushin D.A., Semenov V.V., Prysiazhna V.V., Shlykov M.P.
Nonparametric Ellipsoidal Approximation of Compact Sets of Random Points
In: Optimization and Applications in Control and Data Sciences (ed. B.Goldengorin), Springer Optimization and Its Applications, volume 115, P.327-340.

Contacts


lyashko.serg@gmail.com