关于线性无限维反馈系统

A. Cheremensky
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引用次数: 0

摘要

本文研究了一类线性(无限维控制)系统,其中系统(被控、被控和被观察)变量和外部扰动在分辨率扩展赋范线性空间中的有界(“权”)线性算子的帮助下被提取到方程中。在给定条件下,得到了所有有界(稳定)转移算子(从外部扰动作用到系统变量)的集合;一般来说,在反馈和分离原则的帮助下,并非所有这些都是可以实现的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On linear infinite-dimensional feedback systems
The paper studies a class of linear (infinite-dimensional control) systems where system (controlled, controlling and observed) variables and external disturbances are picked up in equations with the help of bounded (‘weight’) linear operators in resolution extended normed linear spaces. Under the given conditions the set of all bounded (stable) transfer operators (acting from external disturbances to system variables) is obtained; in general not all of them prove to be realizable with the help of the feedback and separation principles.
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