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Avtomatika i Telemekhanika, 2010, Issue 6, Pages 39–50 (Mi at828)  
This article is cited in 37 scientific papers (total in 37 papers)

Deterministic Systems

On properties of gramians of continuous control systems

I. B. Yadykin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (215 kB) Citations (37)
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Abstract: A new approach to the study of controllability and observabihty by means of analysis of the controhabihty and observabihty matrices and gramians was proposed. It rehes on the lemma of expansion of the matrix integrals proved by expanding the resolvents of the matrices $A_m$, and $A$ and the properties of convolution of the matrix function in the complex domain. Analysis of the structural properties of gramians demonstrated that the coefficients of the characteristic equations and the Faddeev matrices in the decomposition of the resolvent of the system dynamics matrix play the leading part in their formation. An example illustrating the properties of gramians was given.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 15.12.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 6, Pages 1011–1021
DOI: https://doi.org/10.1134/S0005117910060032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. B. Yadykin, “On properties of gramians of continuous control systems”, Avtomat. i Telemekh., 2010, no. 6, 39–50; Autom. Remote Control, 71:6 (2010), 1011–1021
Citation in format AMSBIB
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:52
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