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Документ Methodology of project-based learning for training junior students in applied mathematics: general scheme of the educational process(IOP Publishing Ltd, 2023) Akhiiezer, O. B.; Haluza, O. A.; Savchenko, A. O.; Lyubchyk, Leonid Mykhailovych; Protsay, N. T.; Aslandukov, M. O.An original methodology of the project-based learning for junior students of the specialty applied mathematics is proposed in the paper. A complete step-by-step diagram (as a BPMN diagram) of the process of the project-based learning as a business process with a description of the specifi actions of all its participants is given. The paper specifid and clearly describes all the main aspects of the work on the project, starting from the criteria that the project problem must satisfy, and ending with the form of project defense. The roles of both students within the project team and all teachers are described in detail. Special attention is paid to all documents accompanying the work on the project, which should be submitted by the project team. The results of the article may be useful to those teams of teachers who are just starting to work on the implementation of project-based learning into the educational process for the specialty of applied mathematics or related ones.Публікація Reconstruction of customer preference in digital marketing based on kernel machine learning(ФО-П Шпак В. Б., 2023) Lyubchyk, Leonid Mykhailovych; Grinberg, Galyna Leonidivna; Konokhova, Zoia PetrivnaДокумент Дескрипторный подход к синтезу управления запасами в цепях поставок с неопределенными временными задержками(ESC "IASA" NTUU "Igor Sikorsky Kyiv Polytechnic Institute", 2017) Дорофеев, Юрий Иванович; Любчик, Леонид Михайлович; Никульченко, Артем АлександровичДокумент Consensus control of multi-agent systems with input delays: a descriptor model approach(Lviv Polytechnic National University, 2019) Lyubchyk, L. M.; Dorofieiev, Yu. I.This paper addresses the consensus control design for multi-agent systems with input time delay, which is unknown but bounded. Descriptor transformation is used to obtain a model without delay for closed-loop individual agent. The sufficient conditions for global consensus under directed communication topology are identified using Lyapunov–Krasovskii functional. To analyze the stability of the networked multi-agent system based on the relationship between the agents, the Lyapunov function method using corresponding comparison system is used. The effectiveness of the proposed control design method is demonstrated by a numerical simulation example.