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

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

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.

Авторлар туралы

T. Bobyleva

Moscow State University of Civil Engineering

Хат алмасуға жауапты Автор.
Email: tatyana2211@outlook.com
Russia, Moscow

I. Gusev

Lomonosov Moscow State University

Хат алмасуға жауапты Автор.
Email: gusevilya94@yandex.ru
Russia, Moscow

A. Shamaev

Ishlinsky Institute for Problems in Mechanics RAS

Хат алмасуға жауапты Автор.
Email: sham@rambler.ru
Russia, Moscow

Әдебиет тізімі

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© Т.Н. Бобылева, И.М. Гусев, А.С. Шамаев, 2023

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