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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 3, Pages 320–329
DOI: https://doi.org/10.17516/1997-1397-2017-10-3-320-329 (Mi jsfu560) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differential controllability of linear systems of differential-algebraic equations

Pavel S. Petrenko

Matrosov Institute for System Dynamics and Control Theory SB RAS, Lermontov, 134, Irkutsk, 664033, Russian
Full-text PDF (142 kB) Citations (5)
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DOI: https://doi.org/10.17516/1997-1397-2017-10-3-320-329
Abstract: Linear controllable system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admitted. Differential controllability of the system is investigated under assumptions that ensure the existence of a global structural form that separates "algebraic" and "differential" subsystems.
Keywords: differential-algebraic equations, differential controllability, full controllability.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00101
Siberian Branch of Russian Academy of Sciences II.2
Ministry of Education and Science of the Russian Federation NSh-8081.2016.9
This work was partially supported by the Russian Foundation for Basic Research (project no. 16-31-00101), by the Complex Program of Fundamental Scientific Research of Siberian Branch of RAS (no. II.2) and by the Council for Grants of the President of Russian Federation for state support of the leading scientific schools (project NSh-8081.2016.9).
Received: 05.08.2016
Received in revised form: 06.03.2017
Accepted: 10.04.2017
Bibliographic databases:
Document Type: Article
UDC: 517.926, 517.977.1
Language: English
Citation: Pavel S. Petrenko, “Differential controllability of linear systems of differential-algebraic equations”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 320–329
Citation in format AMSBIB
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\by Pavel~S.~Petrenko
\paper Differential controllability of linear systems of differential-algebraic equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 3
\pages 320--329
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-3-320-329}
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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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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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