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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Nonstochastic Approach to Determining the Dimension and Parameters of Linear Autoregressive Models by the Input and Output Variables Measurements

卷 42, 册 1, 2010, pp. 19-31
DOI: 10.1615/JAutomatInfScien.v42.i1.20
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摘要

The problem of identifying the dimension and parameters of the autoregressive model of a linear dynamical system with one input and one output by the measured temporal sequences of inputs and outputs is considered. Measuring errors are thought to be bounded. It is shown that the controllability of a dynamical system is a necessary and sufficient condition of determining the dimension and parameters of the system in the absence of errors. In general, the exact solution of the problem can be obtained if the noise reaches its limiting values.

对本文的引用
  1. Gubarev V. F., Salnikov N. N., Melnychuk S. V., Identification of Regularized Models in the Linear Regression Class, Cybernetics and Systems Analysis, 57, 4, 2021. Crossref

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