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.
引用
收藏
页码：314 / 325
页数：12
相关论文
共 26 条
  • [1] Akbarov D. E., 1998, CONTROL METHODS MIXE
  • [2] [Anonymous], 2007, SYNERGETIC PARADIGM
  • [3] Haken H., 2000, SYNERGETICS PSYCHOL, P21
  • [4] KAPITSA SP, 2003, SYNERGETICS FUTURE P
  • [5] Attractors of multivalued dynamical processes generated by phase-field equations
    Kapustyan, AV
    Melnik, VS
    Valero, J
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (07): : 1969 - 1983
  • [6] Kapustyan O V., 2008, GLOBAL ATTRACTORS MU
  • [7] Kasyanov P. O., 2009, CYBERNET SYST, P774
  • [8] Knyazeva E. N., 2003, P SEM SYN COMPL SYST, V5, P21
  • [9] Malinetskii G. G., 2007, SYNERGETIC PARADIGM, P328
  • [10] Mel'nik V. S., 1994, 9417 VM GLUSH CYB I
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