self-organization;
synergetics;
model of an educational system;
nonsmooth function of system reaction;
nonlinear evolutionary equation;
guaranteed level;
controllability;
dissipation;
multivalued mapping;
attractor;
D O I:
10.1007/s10559-010-9209-y
中图分类号:
TP3 [计算技术、计算机技术];
学科分类号:
0812 ;
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.