Scientific and Research Department of System Mathematics

System Mathematics Department

Corresp. member of NAS of Ukraine, Dr.Hub., Prof. Pavlo KASYANOV, scientific advisor acad. of NAS of Ukraine, Dr.Hub., Prof. Michael ZGUROVSKY

Scientific interests of the System Mathematics Research Department: • Qualitative analysis and control of classes of nonlinear processes of various types; • Properties of solutions of differential-operator equations, inclusions, and variational inequalities for problems of data analysis of various types; • Theory of global and trajectory attractors for infinite-dimensional dynamical systems; • Numerical methods of nonlinear analysis and optimization; • Fully and partially observable Markov decision processes; • Methods of artificial intelligence, reinforcement learning. The main directions of scientific activity are aimed at: • Developing the theoretical framework for mathematical modeling of distributed systems of various types; • Developing new mathematical methods for studying the properties of solutions of differential-operator equations, inclusions, and variational inequalities; • Obtaining results regarding the solution of classes of optimal control problems; • Creating operator technology for investigating the global behavior of state functions of controlled distributed systems of various types in infinite-dimensional spaces; • Studying structural properties of compact attracting sets in phase spaces for operator-differential equations and inclusions in infinite-dimensional spaces; • Creating high-precision algorithms for finding limit cycles of extremal solutions of processes and fields of various types; • Obtaining optimality conditions for fully and partially observable Markov decision processes with weakly continuous transition probabilities; • Studying problems with incomplete information; • Developing methods and tools for reinforcement learning; • Studying applied problems in economics, physics, chemistry, geophysics, biology, medicine, energy, ecology, national security, etc.

Scientific and Research Department of Mathematical Methods of System Analysis

Mathematical Methods of System Analysis Department

Corresp. member of NAS of Ukraine, Dr.Hub., Prof. Nataliia PANKRATOVA

Scientific interests of the Research Department of Mathematical Methods of System Analysis: • system analysis of complex technical, economic, and social systems; • modeling and forecasting the development of complex systems under uncertainty and multi-factor risks; • research of cyber-physical systems and the Internet of Things; • development of decision support systems and strategic planning methods; • application of modern methods of expert evaluation and modeling. The main directions of scientific activity are aimed at: • development of models and algorithms for situational and analytical centers for managing critical and crisis situations; • creation of mathematical methods for analyzing large volumes of weakly structured data; • development of approaches for comprehensive forecasting of socio-economic systems development; • construction of optimal control methods for complex objects and processes; • integration of system analysis methods with artificial intelligence and machine learning technologies.

Scientific and Research Department of Applied Nonlinear Analysis

Applied Nonlinear Analysis Department

Dr.Hub., Prof. Oleksandr MAKARENKO

Scientific interests of the Research Department of Applied Nonlinear Analysis: • Models of large socio-economic systems (neural network analogies, associative memory, mentality and archetypal agents) • Formalization of sustainable development • Systems with prediction (anticipation, polysemy of solutions) • Cellular automata with anticipation, application in modeling migrations and epidemics • Models of competition and artificial life problems • New architectures of neural networks (with anticipation, dendritic structure) • Models of fast-moving processes (hyperbolic heat conduction equations, turbulence) • Complexity of individual objects through symmetries • Approaches to the study of consciousness (polysemy of states) • Geographic information systems (for migrations, epidemics, monitoring) • Drone control systems in conditions of lack of information The main directions of scientific activity are aimed at: • Development of models of socio-economic systems and sustainable development • Theory and practice of anticipation in complex systems • Construction of new mathematical models (neural networks, cellular automata, artificial life) • Research of fast and turbulent processes in physics • Study of complexity, consciousness and mentality in systems • Applied applications: GIS, epidemiology, migration processes, drone control

Course Training Department

Pre-University Training Department

Acting Head Oksana KYTSENKO

Main areas of activity: • Preparation for External Independent Testing (EIT) for 10th and 11th grade students; • Adaptation to studying at a higher education institution; • Issuance of a certificate confirming additional points to the admission ranking when applying to KPI. Subjects: • Mathematics; • Physics; • Ukrainian language and literature; • Advanced level mathematics; • History

Editorial Board of the Journal "System Research and Information Technologies"

Editorial Board

Editor-in-Chief, Acad. of NAS of Ukraine, Dr.Hub., Prof. Michael ZGUROVSKY

Main thematic sections: • theoretical and applied problems and methods of system analysis; • theoretical and applied problems of computer science; • automated control systems; • advanced information technologies, high-performance computer systems; • problems of decision-making and management in economic, technical, environmental, and social systems; • theoretical and applied problems of intelligent decision support systems; problem- and function-oriented computer systems and networks; • optimization methods, optimal control, and game theory; • mathematical methods, models, problems, and technologies for studying complex systems; • methods of analysis and control of systems under risk and uncertainty; • heuristic methods and algorithms in system analysis and management; • new methods in system analysis, computer science, and decision-making theory; • scientific and methodological issues in education.

Research Management Department

PhD Liliia PALIICHUK

Main functions: • monitoring of science funding programs and preparation of competition overviews; • analytical and methodological support for the development of grant proposals and research projects; • coordination with international and national partners and organizational support for project implementation; • preparation of reports, analytical materials, and public presentation of projects.

Department of Personnel and Financial Services

Chief Accountant Liudmyla KOBYLCHENKO, Acting Senior HR Inspector Halyna MARCHENKO

Main functions: • financial support of the institute's activities; • personnel records management; • preparation and submission of financial and HR reports; • organization and management of document flow.