INVESTIGATION OF SELF-ORGANIZATION PROCESSES IN EDUCATIONAL SYSTEMS BY SYNERGETIC MODELING

摘要

A mathematical model of a complex educational macrosystem constructed by the system synergetic method is considered and the problem of preservation of a guaranteed level of observable knowledge is solved. The existence of an attractor with some metric and topological properties in the phase space is proved. In the case of a multivalued function of system reaction, the problem of approximated optimal feedback control is solved.