连续时间系统的最优逼近

1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes Pub Date : 1980-12-01 DOI:10.1109/CDC.1980.271777

M. Bettayeb, L. Silverman, M. Safonov

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引用次数: 67

摘要

在[1]中，基于Adamjan, Arov和Krein[2]的显著理论结果，解决了用低阶系统最优逼近离散时间系统的问题。本文基于有限维模型的系统结构，采用一种新的方法导出了连续时间系统的类似简化模型。具体的算法被开发用于寻找任何指定阶的近似。这些近似在定义良好的意义上是最优的。

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Optimal approximation of continuous-time systems

In [1], the problem of optimally approximating a discrete-time system by a lower-order system was solved based on a remarkable theoretical result of Adamjan, Arov and Krein [2]. In this paper, we derive similar reduced models for continuous-time systems using a new approach based on the system structure of the finite dimensional model. Concrete algorithms are developed for finding approximations of any specified order. These approximations are optimal in a well defined sense.

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1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes

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