Artificial intelligence

Scientific journal

ISSN 2710-1673

ONLINE: ISSN 2710-1681

Select your language


Differential Models for Optimizing the Strategy of Intelligent Agents in a Dynamie Environment of Uncertainty

Stasiuk O.1, Goncharova L.2
1 Institute of artificial intelligence problems of MES and NAS of Ukraine
2 A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
ostasuk177@gmail.com; ktarae188@gmail.com

Full text (PDF)

UDC: 621.311
Publication Language: Ukrainian
Stuc. intelekt. 2026; 31(1):10-24

Abstract: This paper presents differential models for optimizing the behavior and strategies of intelligent agents operating in dynamic environments with uncertainty. The research focuses on the mathematical representation of state dynamics, the construction of optimization mechanisms, and the development of adaptive decision-making strategies under incomplete or stochastic information. The proposed approach is based on the integration of differential equations, control theory, and stochastic optimization methods. The results demonstrate that differential models provide a formal framework for analyzing stability, adaptability, and efficiency of intelligent agents, allowing for the identification of optimal strategies in complex uncertain systems. This work contributes to the development of theoretical foundations for designing intelligent systems with high robustness and efficiency in uncertain dynamic environments.

Keywords: intelligent agents, differential models, optimization strategies, dynamic systems, uncertainty, decision-making, adaptive control, stochastic processes

References:

  1. Stratehiia rozvytku shtuchnoho intelektu v Ukraini. Za zahalnoiu redaktsiieiu A. I. Shevchenka. Vydavnytstvo «Torpeda». Kyiv – 2023 r. S 306.
  2. Stasiuk O.I. The principles of displaying innovative models of artificial intelligence in intelligent computer networks for optimizing the functioning of energy systems. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 1, pp. 18-30. https://doi.org/10.15407/jai2024.01.018
  3. Stasyuk O. I., Goncharova L. L., Hryshchuk R. V. Mathematical models for determining the optimal cybersecurity strategy for intelligent computer networks of the railway power supply distance. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 2, pp. 20-30. https://doi.org/10.15407/jai2024.02.020
  4. Stasyuk O. I., Goncharova L. L. Mathematical innovative and cognitive models of artificial intelligence based on the theory of differential transformations. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 3, pp. 10-31. https://doi.org/10.15407/jai2024.03.010
  5. Stasyuk O. I., Goncharova L. L. Differential models integrated into the strategy for optimizing the information content of the environment with a variety of shi-systems. Piece intelligence. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2025, № 1, стр. 45-59. https://doi.org/10.15407/jai2025.01.045
  6. Stasyuk O. I., Goncharova L. L. Differential models for the optimization of architecture and modes will become a limit. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2025, № 2, стр. 18-31. https://doi.org/10.15407/jai2025.02.018
  7. Sopel, M., Stasyuk, O., Kuznetsov, V.,Goncharova, L., Hubskyi, P. Regina computer system for intelligent monitoring, diagnostics, and management of railway power supply systems Diagnostykathis link is disabled, 2021, 22(4), стр.77–88 (Scopus) (Q3). https://www.ceeol.com/search/articledetail?id=1119979, DOI: 10.29354/diag/143556
  8. Stasiuk, A., Kuznetsov, V., Goncharova, L., Hubskyi, P. Models of the computer intellectualization optimal strategy of the power supply fast-flowing technological processes of the railways traction substations. Communications - Scientific Letters of the University of Zilina, 2021, 23(2), стр. C30–C36. (Scopus) (Q3). http://komunikacie.uniza.sk/index.php/communications /article/view/1680, DOI: 10.26552/com.C.2021.2.C30-C36
  9. Stasiuk O.I., Goncharova L.L. Mathematical Models and Methods for Analyzing Computer Control Networks of Railway Power Supply. New Means Cybernetics, Informatics, Computers Engineering and Systems Analysis. Springer Science+Business Media New York 2018. Volume 54, Issue 1, February 2018, Pages 165-172. (Scopus) (Q3). https://link.springer.com/article/10.1007/s10559-018-0017-0, DOI: 10.1007/s10559-018-0017-0
  10. Stasiuk A.I., Hryshchuk, R.V., Goncharova L.L. Mathematical differential models and methods for assessing the cybersecurity of computer networks intelligent control of technological processes of railway power supply. New Means Cybernetics, Informatics, Computers Engineering and Systems Analysis.Springer Science+Business Media New York 2018. Volume 54, Issue 4, February 2018, Pages 671-68. (Scopus) (Q3) https://link.springer.com/article/10.1007/s10559-018-0068-2, DOI: 10.1007/s10559-018-0068-2
  11. Stasiuk A.I., Hryshchuk, R. V., Goncharova L. L. A Mathematical Cybersecurity Model of a Computer Network for the Control of Power Supply of Traction Substations. Cybernetics and Systems Analysis. Springer Science+Business Media New York Volume 53, Issue 3, May 2017, Pages 476-484. https://link.springer.com/article/10.1007/s10559-017-9949-z, DOI: 10.1007/s10559-017-9949-z
  12. Stasyuk, A.I., Lidiya L. Goncharova, Mathematical models and methods of the nalysis of computer networks of control of power supply of railways traction substations L.L. Journal of Automation and Information Sciencesthis link is disabled, 2017, 49(2), стр. 50–60. http://www.dl.begellhouse.com/journals/2b6239406278e43e,5bdc44c95254b2ed,779791cb12ca6912.html, DOI: 10.1615/JAutomatInfScien.v49.i2.50
  13. Alexander I. Stasiuk, Lidiya L. Goncharova Mathematical Models and Methods of Formation of Intelligent Computer Networks for Control of Power Supply and Optimization of Power Consumption of Railways. Journal of Automation and Information Sciences. Begell House Inc. (США), New York, Connecticut. Volume 50, 2018 Issue 8 , pages 50-65. SCOPUS, Web of Science, ISI, INIS Atomindex, io-port.net. http://www.dl.begellhouse.com/journals/2b6239406278e43e,2ec3cf2b062398ac,5e87262e3b8eefd4.html, DOI: 10.1615/JAutomatInfScien.v50.i8.50
  14. Pukhov G.E., Taylor transformations and their application in electrical engineering and electronics [in Russian], Naukova dumka, Kiev, 1978.

View full text (PDF)