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Information × Registration Number 0221U104581, 0115U003028 , R & D reports Title System analysis and research stabilization of stochastic system by methods computer mathematics popup.stage_title Head Dzhalladova Irada A, Доктор фізико-математичних наук Registration Date 01-04-2021 Organization Kyiv National Economics University named after Vadym Hetman popup.description2 1. The approach to the study of broad classes of stochastic systems of equations is substantiated. 2. Methods of synthesis of a dynamic model of information security management of a stock market participant using Markov chains, game theory and mathematical management theory are developed. 3. The conditions of a stable mode of functioning of the system of moment equations are obtained, for the average generalized characteristics of the number of economically active population in Ukraine, as one of the factors of information security. 4. The methodological tools of stochastic control models have been improved, as a result of which a theoretical substantiation of the possibility of using stochastic differential equations to solve the optimal control problem has been obtained. 5. It is proposed to evaluate the stability of the model parameters based on the use of the sensitivity function of the first and second orders. 6. The possibility of using the mathematical apparatus of differential-difference equations with Markov coefficients and the method of instantaneous equations to assess the stability of processes in conditions of uncertainty and conflict, and the formation of recommendations for their optimal control. - the significance of scientific results lies in the improvement of modern mathematical apparatus to obtain optimization conditions in conditions of uncertainty and conflict situations, as well as to study models of threats and attacks in cyberspace - based on the results of research, parts of sections in 3 monographs were prepared, 31 scientific articles, 67 abstracts of speeches at conferences were published; - improved educational process, methodological and organizational support for teaching disciplines: "Introduction to Cybersecurity", "Information Theory and Coding", "Economics of Information Security", "Management Theory", "Problems of Applied Systems Analysis", "Cryptanalysis", "Applied Stochastic mathematics"; Product Description popup.authors Agutin Mykhaylo M Begun Anatoliy V Babynyuk Olexandra I Halitsyn Volodymyr К. Gladka Yuliya A Demianenko Volodymyr V Dzhalladova Irada A Kaminsky Oleg Е. Korzachenko Olga V Lazareva Svitlana F Lyutyy Oleksandr I Mamonova Ganna V Pozdnyakovich Olexander E Potapenko Sergey D Chuhaieva Olena V Shchedrina Olena I popup.nrat_date 2021-04-01 Close
R & D report
Head: Dzhalladova Irada A. System analysis and research stabilization of stochastic system by methods computer mathematics. (popup.stage: ). Kyiv National Economics University named after Vadym Hetman. № 0221U104581
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Updated: 2026-03-27