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.

中文翻译：

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研究分布式热机械系统的动态特性及其控制系统的稳定性条件

摘要

我们研究了一维弹性机械系统对外部热作用的响应的动态特性。确定了植物的动力学可以通过由两个积分算子、一个线性有界算子和一个反映植物自然振动特性的算子组成的方案来描述。此外，我们建立了一类从系统输出到热作用的反馈，以确保闭环系统的稳定性。