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Matematicheskie Zametki, 2001, Volume 69, Issue 2, Pages 163–170
DOI: https://doi.org/10.4213/mzm492 (Mi mzm492) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Generalized Gram Matrix and Its Application to the Observability Problem for Linear Nonsteady Systems

A. I. Astrovskii

Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
Full-text PDF (207 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm492
Abstract: Sufficient conditions for the nondegeneracy of a generalized Gram matrix are obtained. In particular, it is shown that the generalized Gram matrix is nondegenerate for the Chebyshev systems of functions. An application of the results to the observability problems for linear nonsteady systems of ordinary differential equations are given. In terms of the observability matrix, necessary and sufficient conditions of the complete and total observability by means of finite-parameter solving operations are established.
Received: 26.12.1997
English version:
Mathematical Notes, 2001, Volume 69, Issue 2, Pages 141–148
DOI: https://doi.org/10.1023/A:1002859916153
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: A. I. Astrovskii, “Generalized Gram Matrix and Its Application to the Observability Problem for Linear Nonsteady Systems”, Mat. Zametki, 69:2 (2001), 163–170; Math. Notes, 69:2 (2001), 141–148
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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