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
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2010年 / 46卷 / 02期
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.
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页码：314 / 325
页数：12
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