Application of intelligent technologies and neural network modeling methods in the development of a hybrid learning environment

We consider the problems of applying mathematical modeling and intelligent technologies in the development of methods and tools to support educational processes. As a part of creating a hybrid intelligent learning environment, we offer the construction of differential mathematical models with delayed feedback. We characterize a generalized model of the educational process. This model contains a knowledge base module and an interaction module based on artificial intelligence. We study a number of qualitative properties for the dynamic «director–teacher–student» task transfer model with delayed feedback and intelligent components. The described approach to analyzing model properties allows us to consider uncertainties and control actions in hybrid learning environments.