Combined control of multirate impulse processes in a cognitive map of COVID-19 morbidity

Authors

  • Victor Romanenko Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0002-6222-3336
  • Yurii Miliavskyi Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0003-0882-3418

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2022.3.03

Keywords:

cognitive map, impulse processes, control law, optimality criterion, COVID-19

Abstract

In this article, a cognitive map (CM) of COVID-19 morbidity in a given region was built. A general linear impulse process (IP) model in the CM was developed and measured, and unmeasured CM node coordinates were defined. The general IP model was decomposed into interrelated subsystems with measurable and unmeasurable node coordinates. For the subsystem with measurable node coordinates, multirate sampling of coordinates was conducted, resulting in the development of discrete dynamics models for quickly and slowly measured node coordinates. External controls were selected in IP models based on the possible variation of resources of node coordinates and CM weighting coefficients. IP control laws based on the variation of CM nodes and weight were designed. As a result, recurrent procedures for control generation in closed-loop control subsystems with multirate sampling were formulated. Experimental research on the control subsystems was carried out. It confirmed high efficiency for decreasing COVID-19 morbidity.

Author Biographies

Victor Romanenko, Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Professor, Doctor of Technical Sciences, the Deputy Director of Scientific and Pedagogical Work of Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

Yurii Miliavskyi, Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Doctor of Technical Sciences, an associate professor at the Department of Mathematical Methods of System Analysis of Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

References

F. Roberts, Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems. Englewood Cliffs, Prentice-Hall, 1976, 559 p.

Mikhail Z. Zgurowsky, Victor D. Romanenko, and Yuriy L. Milyavskiy, “Principles and Methods of Impulse Processes Control in Cognitive Maps of Complex Systems. Part 1,” Journal of Automation and Information Sciences, vol. 48, no. 3, pp. 36–45, 2016. doi: 10.1615/JAutomatInfScien.v48.i3.40.

V. Romanenko and Y. Milyavsky, “Control automation method in cognitive maps based on the synthesis of increments of weighting coefficients and nodes coordinates,” (in rus.), System Research and Information Technologies, no. 3, pp. 89–99, 2019. doi: 10.20535/SRIT.2308-8893.2019.3.08.

V. Romanenko and Y. Milyavsky, “Control method in cognitive maps based on weights increments,”Cybernetics and Computer Engineering, issue 184, pp. 44–55, 2016. doi: 10.15407/kvt184.02.044.

V. Romanenko, Y. Miliavskyi, and H. Kantsedal, “Application of Impulse Process Models with Multirate Sampling in Cognitive Maps of Cryptocurrency for Dynamic Decision Making,” in System Analysis & Intelligent Computing. Theory and Applications; eds: M. Zgurovsky, N. Pankratova. Springer, 2022, pp. 115–137. doi: 10.1007/978-3-030-94910-5.

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Published

2022-10-30

Issue

Section

Decision making and control in economic, technical, ecological and social systems