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The COVID-19 pandemic has re-emphasized distance learning. It became a powerful impetus for the transition from theoretical considerations to the practical implementation of such training in the school system (Strategy New Growth Model - New Social Policy, 2020). This article describes the experience of organizing such training for children in the 4th quarter of the 2019/2020 academic year. It considers all stages of implementation of distance learning, such as solution of legal issues regulating the activities of an educational institution; effective construction of the educational process, considering the important relationship "student-teacher"; the right choice of information technology that meets the capabilities and limited skills of students, and has a user-friendly interface. The experience of distance collaboration between a teacher, a student and his parents is also presented, which made it possible to build effective teaching and achieve a high-quality education.

An analytical solution of the problem of synthesis of quasiadaptive automatic control system with a reference model for multivariable plant with state and input time-delays on the basis of system embedding technology is proposed. The compensation scheme is applied to compensate input delay. Design of the corresponding control law is carried out for cases of synthesis with respect to free component, to forced component, to free and forced components of mismatch of the closed-loop dynamic system. Coefficients, which determine a set of solutions of the problem of synthesis and conditions of the existence of these solutions, are calculated.