基于中性线性系统不完全测量的单一控制器的有限稳定和有限频谱分配

Pub Date : 2024-09-11 DOI:10.1134/s0012266124050094

V. E. Khartovskii

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引用次数: 0

摘要

摘要对于中性类型的线性自主微分-差分系统，证明了其存在性标准，并提出了一种设计观测输出反馈控制器的方法，该控制器能使闭环系统具有有限的稳定性（完全（0 \）-可控性问题的解）和有限的预定频谱。这使得闭环系统呈指数稳定。下面通过一个例子来说明所提出结果的构造性。

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Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type

Abstract

For a linear autonomous differential-difference system of the neutral type, the existence criterion is proved and a method is proposed for designing an observed output feedback controller providing the closed-loop system with finite stabilization (solution of the problem of complete \(0 \)-controllability) and a finite predetermined spectrum. This makes the closed-loop system exponentially stable. The constructiveness of the presented results is illustrated by an example.

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