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Avtomatika i Telemekhanika, 2021, Issue 8, Pages 60–84
DOI: https://doi.org/10.31857/S0005231021080031 (Mi at15769) 		 
Nonlinear Systems

Studying the dynamic properties of a distributed thermomechanical system and stability conditions for its control system

E. M. Solnechnyi

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
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DOI: https://doi.org/10.31857/S0005231021080031
Abstract: We study the dynamic properties of the response of a one-dimensional elastic mechanical system to an external thermal action. It is established that the dynamics of the plant can be described by a scheme consisting of two integration operators, a linear bounded operator, and an operator reflecting the natural vibrational properties of the plant. In addition, we establish a class of feedbacks from the system output to the thermal action that ensure the stability of the closed-loop system.
Keywords: distributed thermomechanical plant, dynamic property, operator, feedback, closed-loop system, stability.
Presented by the member of Editorial Board: A. G. Kushner

Received: 04.11.2018
Revised: 22.08.2020
Accepted: 15.01.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 8, Pages 1338–1357
DOI: https://doi.org/10.1134/S0005117921080038
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. M. Solnechnyi, “Studying the dynamic properties of a distributed thermomechanical system and stability conditions for its control system”, Avtomat. i Telemekh., 2021, no. 8, 60–84; Autom. Remote Control, 82:8 (2021), 1338–1357
Citation in format AMSBIB
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