Limited and Smooth Controls of Oscillations in Systems Given by Differential and Integro-Differential Equations

被引：0

作者：

Bobyleva, T. N. ^{[1
]}

Gusev, I. A. ^{[2
]}

Shamaev, A. S. ^{[3
]}

机构：

[1] Moscow State Univ Civil Engn, Moscow 129337, Russia

[2] Moscow MV Lomonosov State Univ, Moscow 199991, Russia

[3] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow 119526, Russia

来源：

MECHANICS OF SOLIDS | 2023年 / 58卷 / 08期

基金：

俄罗斯科学基金会;

关键词：

control; oscillatory system; distributed and concentrated forces; small control forces; integrodifferential systems; EXACT CONTROLLABILITY; DISTRIBUTED SYSTEM;

D O I：

10.3103/S0025654423080058

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper considers the problem of damping vibrations of a membrane and a plate with the help of forces distributed over their entire area. The proposed method allows us to consider restrictions not only on the absolute value of the control, but also on the absolute value of the derivatives of the functions that specify the control. Sufficient conditions are given for the initial conditions under which the problem of bringing the system to rest in a finite time is solvable, and the time of bringing to rest is estimated.

引用

页码：2818 / 2825

页数：8

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