Optimal stabilization for differential systems with delays - Malkin's approach

被引：3
作者：
Demchenko, H. [1 ,2 ]
Diblik, J. [1 ,3 ]
Khusainov, D. Ya [4 ]
机构：
[1] Brno Univ Technol, Fac Elect Engn & Commun, Tech 3058-10, Brno 61600, Czech Republic
[2] Masatyk Univ, Fac Econ & Adm, Lipova 507-41a, Brno 60200, Czech Republic
[3] Brno Univ Technol, Fac Civil Engn, Veveri 331-95, Brno 60200, Czech Republic
[4] Tatas Shevchenko Natl Univ Kiev, Fac Comp Sci & Cybernet, Volodymirska Str 64, UA-01601 Kiev, Ukraine
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 09期
关键词：
Quality control;
D O I：
10.1016/j.jfranklin.2019.04.021
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper considers a process controlled by a system of delayed differential equations. Under certain assumptions, a control function is determined such that the zero solution of the system is asymptotically stable and, for an arbitrary solution, the integral quality criterion with infinite upper limit exists and attains its minimum value in a given sense. To solve this problem, Malkin's approach to ordinary differential systems is extended to delayed functional differential equations, and Lyapunov's second method is applied. The results are illustrated by examples, and applied to some classes of delayed linear differential equations. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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页码：4811 / 4841
页数：31
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