Optimal control problem for the equation of vibrations of an elastic plate

被引：1
|
作者：
Guliyev, Hamlet F. [1 ]
Seyfullaeva, Khayala I. [2 ]
机构：
[1] Baku State Univ, Z Khalilov Str 23, AZ-1148 Baku, Azerbaijan
[2] Sumgayit State Univ, Baku Str 1, AZ-5008 Sumgayit, Azerbaijan
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 03期
关键词：
Elastic plate; vibration equation; optimal control; existence theorem;
D O I：
10.1515/gmj-2017-0004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An optimal control problem for the vibration equation of an elastic plate is considered when the control function is included in the coefficient of the highest order derivative and the right-hand side of the equation. The solvability of the initial boundary value problem is shown, the theorem on the existence of an optimal control is proved and a necessary condition of optimality in the form of an integral equation is obtained.
引用
收藏
页码：371 / 379
页数：9
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