SOME MATHEMATICAL PROBLEMS AND THEIR SOLUTIONS FOR THE OSCILLATING SYSTEMS WITH LIQUID DAMPERS: A REVIEW

被引：0
|
作者：
Aliev, Fikret A. [1 ,2 ]
Aliyev, N. A. [1 ]
Hajiyeva, N. S. [1 ]
Mahmudov, N., I [3 ]
机构：
[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan
[2] Natl Acad Sci Azerbaijan, Inst Informat Technol, Baku, Azerbaijan
[3] Eastern Mediterranean Univ, Dept Math, Famagusta, Northern Cyprus, Turkey
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2021年 / 20卷 / 03期
基金：
欧盟地平线“2020”;
关键词：
Oscillating Systems; Liquid Damper; Fractional Derivative; Asymptotic Representation; Optimal Control; Regulator; Boundary Conditions; Larin Parameterization; Discretization; FRACTIONAL DIFFERENTIAL-EQUATIONS; BAGLEY-TORVIK EQUATION; NUMERICAL-SOLUTION; ANALYTICAL CONSTRUCTION; CALCULUS; REPRESENTATION; ALGORITHM; OPERATORS; DESIGN;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The mathematical problem of an oscillating system with liquid dampers is considered, such as finding the order of the fractional derivative of a subordinate term based on the given statistical data from practice, constructing. A solution of the corresponding system with nonseparated boundary conditions, is constructed including for large values of the head mass, finding asymptotic solutions on the first approximations, and constructing optimal regulators to stabilize the system around the corresponding program trajectories and controls.
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页码：339 / 365
页数：27
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