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

被引:2
|
作者
Yasinsky, V. V. [1 ]
机构
[1] Natl Tech Univ, Inst Monitoring Qual Educ, Kiev Polytech Inst, Kiev, Ukraine
关键词
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.
引用
收藏
页码:314 / 325
页数:12
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