MATHEMATICAL MODELING OF A DECENTRALIZED ARCHITECTURE FOR CONTROLLING COLLABORATIVE WORK USING SENSOR NETWORKS

Olena Chala; Amer Abu-Jassar; Vladyslav Yevsieiev; Svitlana Maksymova

Vol. 3 No. 10 (2025), Articles

Vol. 3 No. 10 (2025)

MATHEMATICAL MODELING OF A DECENTRALIZED ARCHITECTURE FOR CONTROLLING COLLABORATIVE WORK USING SENSOR NETWORKS

Articles

Published 2025-10-06

Olena Chala⁺⁻
Amer Abu-Jassar⁺⁻
Vladyslav Yevsieiev⁺⁻
Svitlana Maksymova⁺⁻

Olena Chala

Department of Computer-Integrated Technologies, Automation and Robotics, Kharkiv National University of Radio Electronics, Ukraine

Amer Abu-Jassar

Department of Computer Science, College of Information Technology, Amman Arab University, Amman, Jordan

Vladyslav Yevsieiev

Department of Computer-Integrated Technologies, Automation and Robotics, Kharkiv National University of Radio Electronics, Ukraine

Svitlana Maksymova

Department of Computer-Integrated Technologies, Automation and Robotics, Kharkiv National University of Radio Electronics, Ukraine

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Keywords

Decentralized Control, Collaborative Robots, Sensor Networks, Mathematical Modeling, Barrier Functions, Consensus, Industry 5.0, Numerical Modeling, Multi-Agent Systems.

How to Cite

MATHEMATICAL MODELING OF A DECENTRALIZED ARCHITECTURE FOR CONTROLLING COLLABORATIVE WORK USING SENSOR NETWORKS. (2025). Journal of Universal Science Research, 3(10), 31-52. https://universalpublishings.com/~niverta1/index.php/jusr/article/view/13783

Abstract

The article considers the problem of building a decentralized architecture for controlling collaborative robots based on sensor networks, which is a relevant task for intelligent production systems of Industry 5.0. Mathematical models and expressions are proposed that describe information exchange between agents, conditions for safe interaction and coordinated movement.

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DOI

References

1.Chala, O., & et al. (2025). Bio-Inspired Principles for Modeling Information Collection in Collaborative Robot Environments. Multidisciplinary Journal of Science and Technology, 5(6), 9-18.

2.Yevsieiev, V., & et al. (2024). Data Fusion Research for Collaborative Robots-Manipulators within Industry 5.0. ACUMEN: International journal of multidisciplinary research, 1(4), 125-137.

3.Lyashenko, V., Abu-Jassar, A. T., Yevsieiev, V., & Maksymova, S. (2023). Automated Monitoring and Visualization System in Production. International Research Journal of Multidisciplinary Technovation, 5(6), 9-18.

4.Baker, J. H., Laariedh, F., Ahmad, M. A., Lyashenko, V., Sotnik, S., & Mustafa, S. K. (2021). Some interesting features of semantic model in Robotic Science. SSRG International Journal of Engineering Trends and Technology, 69(7), 38-44.

5.Sotnik, S., Mustafa, S. K., Ahmad, M. A., Lyashenko, V., & Zeleniy, O. (2020). Some features of route planning as the basis in a mobile robot. International Journal of Emerging Trends in Engineering Research, 8(5), 2074-2079.

6.Maksymova, S., Matarneh, R., & Lyashenko, V. V. (2017). Software for Voice Control Robot: Example of Implementation. Open Access Library Journal, 4(8), 1-12.

7.Sotnik, S., & et al.. (2022). Modern Industrial Robotics Industry. International Journal of Academic Engineering Research, 6(1),. 37-46.

8.Lyashenko, V., & et al.. (2021). Modern Walking Robots: A Brief Overview. International Journal of Recent Technology and Applied Science, 3(2), 32-39.

9.Sotnik, S., & et al.. (2022). Overview of Innovative Walking Robots. International Journal of Academic Engineering Research, 6(4), 3-7.

10.Maksymova, S., & et al. (2025). Decision-Making Model for Controlling a Collaborative Robot-Manipulator Based on the Sensor Fusion Method and the Rules of Rule-Based Systems. Multidisciplinary Journal of Science and Technology, 5(6), 526-538.

11.Nevliudov, I., & et al. (2025). A Small-Sized Robot Prototype Development Using 3D Printing. acta mechanica et automatica, 19(1).

12.Yevsieiev, V., & et al. (2024). Capturing Human Movements in Real Time in Collaborative Robots Workspace within Industry 5.0. Journal of universal science research, 2(10), 232-247.

13.Maksymova, S., & et al. (2025). A Mathematical Model Development for an Automated Control System for Packaging and Sorting Products Closed Area. Multidisciplinary Journal of Science and Technology, 5(5), 149-164.

14.Yevsieiev, V., & et al. (2024). Human Operator Identification in a Collaborative Robot Workspace within the Industry 5.0 Concept. Multidisciplinary Journal of Science and Technology, 4(9), 95-105.

15.Demska, N., & et al. (2025). Analysis of Methods, Models and Algorithms for a Collaborative Robots Group Decentralized Control. ACUMEN: International journal of multidisciplinary research, 2(2), 235-249.

16.Chala, O., & et al. (2025). Mathematical Model Based on Multi-Agent Reinforcement Learning (MARL) and Partially Observable Markov Decision Process (POMDP) for Modeling Cargo Movement for a Mobile Robots Group. Multidisciplinary Journal of Science and Technology, 5(4), 480-489.

17.Yevsieiev, V., & et al. (2025). A human-centric approach to control collaborative robots within Industry 5.0. Multidisciplinary Journal of Science and Technology, 5(5), 351-361.

18.Chala, O., & et al. (2025). Using the Human Face Recognition Method Based on the MobileNetV2 Neural Network in Authentication Systems. Multidisciplinary Journal of Science and Technology, 5(3), 882-895.

19.Abu-Jassar, A., & et al. (2024). Building a Route for a Mobile Robot Based on the BRRT and A*(H-BRRT) Algorithms for the Effective Development of Technological Innovations. International Journal of Engineering Trends and Technology, 72(11), 294-306.

20.Al-Sharo, Y. M., Abu-Jassar, A. T., Sotnik, S., & Lyashenko, V. (2023). Generalized procedure for determining the collision-free trajectory for a robotic arm. Tikrit Journal of Engineering Sciences, 30(2), 142-151.

21.Al-Sharo, Y., Abu-Jassar, A., Lyashenko, V., Yevsieiev, V., & Maksymova, S. (2023). A Robo-hand prototype design gripping device within the framework of sustainable development. Indian Journal of Engineering, 20, e37ije1673.

22.Sotnik, S., & Lyashenko, V. (2022). Prospects for Introduction of Robotics in Service. Prospects, 6(5), 4-9.

23.Sotnik, S., & et al.. (2022). Agricultural Robotic Platforms. International Journal of Academic Engineering Research, 6(4), 14-21.

24.Maksymova, S., Matarneh, R., Lyashenko, V. V., & Belova, N. V. (2017). Voice Control for an Industrial Robot as a Combination of Various Robotic Assembly Process Models. Journal of Computer and Communications, 5, 1-15.

25.Sotnik, S. Overview: PHP and MySQL Features for Creating Modern Web Projects/ S Sotnik, V. Manakov, V. Lyashenko //International Journal of Academic Information Systems Research (IJAISR). – 2023. – Vol. 7, Issue 1. – P. 11-17.

26.Lyashenko, V. V., Matarneh, R., Kobylin, O., & Putyatin, Y. P. (2016). Contour Detection and Allocation for Cytological Images Using Wavelet Analysis Methodology. International Journal, 4(1), 85-94.

27.Babker, A. M., Altoum, A. E. A., Tvoroshenko, I., & Lyashenko, V. (2019). Information technologies of the processing of the spaces of the states of a complex biophysical object in the intellectual medical system health. International Journal of Advanced Trends in Computer Science and Engineering, 8(6), 3221-3227.

28.Lyashenko, V., Ahmad, M. A., Sotnik, S., Deineko, Z., & Khan, A. (2018). Defects of communication pipes from plastic in modern civil engineering. International Journal of Mechanical and Production Engineering Research and Development, 8(1), 253-262.

29.Sotnik, S., Matarneh, R., & Lyashenko, V. (2017). System model tooling for injection molding. International Journal of Mechanical Engineering and Technology, 8(9), 378-390.

30.Kots, G. P., & Lyashenko, V. (2012). Banking sectors of the economies of European countries in the representation of statistical interrelation between indices that characterize their development. European Applied Sciences, 1, 461-465.

31.Куштим, В. В., & Ляшенко, В. В. (2007). Динаміка розвитку банківського сегмента міжнародного фінансового ринку. Фінанси України, (12), 96-105.

32.Khan, A., Joshi, S., Ahmad, M. A., & Lyashenko, V. (2015). Some effect of Chemical treatment by Ferric Nitrate salts on the structure and morphology of Coir Fibre Composites. Advances in Materials Physics and Chemistry, 5(1), 39-45.

33.Dobrovolskaya, I., & Lyashenko, V. (2013). Interrelations of banking sectors of European economies as reflected in separate indicators of the dynamics of their cash flows influencing the formation of the resource potential of banks. European Applied Sciences, 1-2, 114-118.

34.Lyashenko, V., Laariedh, F., Ayaz, A. M., & Sotnik, S. (2021). Recognition of Voice Commands Based on Neural Network. TEM Journal: Technology, Education, Management, Informatics, 10(2), 583-591.

35.Ahmad, M. A., Sinelnikova, T., Lyashenko, V., & Mustafa, S. K. (2020). Features of the construction and control of the navigation system of a mobile robot. International Journal of Emerging Trends in Engineering Research, 8(4), 1445-1449.

36.Tahseen A. J. A., & et al.. (2023). Binarization Methods in Multimedia Systems when Recognizing License Plates of Cars. International Journal of Academic Engineering Research (IJAER), 7(2), 1-9.

37.Sotnik S., & et al.. (2022). Key Directions for Development of Modern Expert Systems. International Journal of Engineering and Information Systems (IJEAIS), 6(5), 4-10.

38.Abu-Jassar, A., Hamdan, M., Hamash, K., Boboyorov, S., & Lyashenko, V. (2025, April). Lab Color Model and Contrast Modification as a Tool for Improving the Quality of Medical Images. In 2025 1st International Conference on Computational Intelligence Approaches and Applications (ICCIAA) (pp. 1-7). IEEE.

39.Abu-Jassar, A. T., Attar, H., Amer, A., Lyashenko, V., Yevsieiev, V., & Solyman, A. (2025). Development and Investigation of Vision System for a Small-Sized Mobile Humanoid Robot in a Smart Environment. International Journal of Crowd Science, 9(1), 29-43.

40.Attar, H., Abu-Jassar, A. T., Lyashenko, V., Al-qerem, A., Sotnik, S., Alharbi, N., & Solyman, A. A. (2023). Proposed synchronous electric motor simulation with built-in permanent magnets for robotic systems. SN Applied Sciences, 5(6), 160.

41.Rabotiahov, A., Kobylin, O., Dudar, Z., & Lyashenko, V. (2018, February). Bionic image segmentation of cytology samples method. In 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET) (pp. 665-670). IEEE.

42.Tvoroshenko, I., Lyashenko, V., Ayaz, A. M., Mustafa, S. K., & Alharbi, A. R. (2020). Modification of models intensive development ontologies by fuzzy logic. International Journal of Emerging Trends in Engineering Research, 8(3), 939-944.

43.Abu-Jassar, A. T., Attar, H., Lyashenko, V., Amer, A., Sotnik, S., & Solyman, A. (2023). Access control to robotic systems based on biometric: the generalized model and its practical implementation. International Journal of Intelligent Engineering and Systems, 16(5), 313-328.

44.Orobinskyi, P., Petrenko, D., & Lyashenko, V. (2019, February). Novel approach to computer-aided detection of lung nodules of difficult location with use of multifactorial models and deep neural networks. In 2019 IEEE 15th International Conference on the Experience of Designing and Application of CAD Systems (CADSM) (pp. 1-5). IEEE.

45.Lyashenko, V., Tvoroshenko, I., Mustafa, S. K., & Ahmad, M. A. (2020). Methods of using fuzzy interval logic during processing of space states of complex biophysical objects. International Journal of Emerging Trends in Engineering Research, 8(2), 372-377.

46.Chen, W. T., & et al. (2025). Decentralized Navigation of a Cable-Towed Load using Quadrupedal Robot Team via MARL. arXiv preprint arXiv:2503.18221.

47. Pey, J. J. J., & et al. (2025). A Decentralized Partially Observable Markov Decision Process for complete coverage onboard multiple shape changing reconfigurable robots. Expert Systems with Applications, 271, 126565.

48.Duorinaah, F. X., & et al. (2025). Human and Multi-Robot Collaboration in Indoor Environments: A Review of Methods and Application Potential for Indoor Construction Sites. Buildings, 15(15), 2794.

49.Lopes, W. A. C., & et al. (2025). Integration of Digital Twin, IoT and LoRa in SCARA Robots for Decentralized Automation with Wireless Sensor Networks. Eng, 6(5), 90.

50.Gutierrez, G. M., & et al. (2025). Federated learning for collaborative robotics: a ros 2-based approach. Electronics, 14(7), 1323.

51.Trigka, M., & Dritsas, E. (2025). Wireless Sensor Networks: From Fundamentals and Applications to Innovations and Future Trends. IEEE Access.

52.Habib, M. K., & Chukwuemeka, C. I. (2025). Development of IoT-Based Hybrid Autonomous Networked Robots. Technologies, 13(5), 168.

53.Oh, J. (2025). Towards Cognitive Collaborative Robots: Semantic-Level Integration and Explainable Control for Human-Centric Cooperation. arXiv preprint arXiv:2505.03815.

54.Puttero, S., & et al. (2025). Collaborative robots for quality control: an overview of recent studies and emerging trends. Journal of Intelligent Manufacturing, 1-37.

55.Gurin, D., & et al. (2024). Web site reliability analysis using the Python parsing method. Journal of Universal Science Research, 2(5), 113-126.

56.Yevsieiev, V., & et al. (2024). Building a traffic route taking into account obstacles based on the A-star algorithm using the python language. Technical Science Research in Uzbekistan, 2(3), 103-112.

57.Maksymova, S., & et al. (2025). Microchip Marking Recognition and Identification Using a Computer Vision System Mathematical Model. Multidisciplinary Journal of Science and Technology, 5(4), 321-330.

58.Yevsieiev, V., & et al. (2024). A Program for Analyzing the Structure of a Web site Development Using the Parsing Method Based on the Python. Journal of Universal Science Research, 2(4), 172-183.