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POSITION
Head of the Department of Computational Mathematics, Faculty of Computer Sciences and Cybernetics, Taras Shevchenko National University of Kyiv, correspondent member of the National Academy of Sciences of Ukraine, Professor.
WORK EXPERIENCE
19771991
from engineer to primary constructor
V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences , Kyiv (Ukraine)
1991Present
Head of the Department of Computational Mathematics
Taras Shevchenko National University of Kyiv, Kyiv (Ukraine)
EDUCATION AND TRAINING
19721977
Master Degree in Mathematics
Taras Shevchenko National University of Kyiv, Kyiv (Ukraine)
19771981
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)
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Simulation and Optimal Control of Linear Systems with Distributed Parameters
Research Fields:
Computer Science
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
1. Lyashko S.I. Generalized Optimal Control of Linear Systems with Distributed Parameters / Dordrecht, Boston, London.- Kluwer Academic Publishers.-2002.- 455p.
2. 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.
3. 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.
4. Lyashko, S.I., Klyushin, D.A., Onotskyi, V.V., Lyashko, N.I. Optimal Control of Drug Delivery from Microneedle Systems // Cybernetics and Systems Analysis. 2018. Vol.54, no 3. P. 357-365.
5. Tymoshenko A., Klyushin D., Lyashko S. Optimal Control of Point Sources in Richards-Klute Equation // In: Hu Z., Petoukhov S., Dychka I., He M. (eds) Advances in Computer Science for Engineering and Education (2019). ICCSEEA 2018. Advances in Intelligent Systems and Computing, vol 754. Springer, Cham, P. 194-203.
ScopusID: https://www2.scopus.com/authid/detail.uri?authorId=6701527231
Contacts
lyashko.serg@gmail.com
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