Control of The Final State of Fuzzy Dynamical Systems

被引：0
|
作者：
Sotnikov, A. N. [1 ]
Dzyuba, S. M. [2 ]
Egereva, I. A. [2 ]
Palyukh, B. V. [2 ]
Emelyanova, I. I. [2 ]
机构：
[1] Russian Acad Sci, Joint Supercomp Ctr, Moscow 119334, Russia
[2] Tver State Tech Univ, Tver 170026, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
fuzzy dynamical systems; Bellman equation; suboptimal autonomous control law;
D O I：
10.1134/S1995080219050202
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper considers the problem of controlling the final state of dynamic systems characterized by classical fuzzy relations. The solution of the problem is reduced to solving a functional equation of the Bellman equation type. On the basis of modern methods of the general theory of dynamical systems, the asymptotic properties of the solutions of the obtained functional equation are studied. The problem of the existence and construction of a suboptimal autonomous control law with feedback is studied.
引用
收藏
页码：599 / 605
页数：7
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