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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 210–224
DOI: https://doi.org/10.17377/smzh.2018.59.118 (Mi smj2966) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Controllability of differential-algebraic equations in the class of impulse effects

A. A. Shcheglova

Institute for System Dynamics and Control Theory, Irkutsk, Russia
Full-text PDF (334 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2018.59.118
Abstract: Considering a control linear system of differential-algebraic equations with infinitely differentiable coefficients we establish the existence of solutions in the class of Sobolev–Schwartz distributions. The solution is expressed as the sum of a regular generalized function and a singular generalized function. We study controllability with a jump of a regular component and a singular component of the solution.
Keywords: differential-algebraic equations, space of distributions, impulse controllability, controllability in the class of impulse effects, generalized solution.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations II.2
The author was partially supported by the Complex Program of Basic Scientific Research of the Siberian Division of the Russian Academy of Sciences (Grant No. II.2).
Received: 20.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 166–178
DOI: https://doi.org/10.1134/S0037446618010184
Bibliographic databases:
Document Type: Article
UDC: 517.926+517.922
Language: Russian
Citation: A. A. Shcheglova, “Controllability of differential-algebraic equations in the class of impulse effects”, Sibirsk. Mat. Zh., 59:1 (2018), 210–224; Siberian Math. J., 59:1 (2018), 166–178
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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