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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 373–388
DOI: https://doi.org/10.17377/semi.2018.15.034
(Mi semr925)
 

This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

The problem of package guidance under incomplete information and integral signal of observation

P. G. Surkov

N.N. Krasovskii Institute of Mathematics and Mechanics of UB RAS, 16 S.Kovalevskaya Str., 620990, Ekaterinburg, Russian Federation
Full-text PDF (235 kB) Citations (2)
References:
Abstract: The problem of guaranteed closed-loop guidance at a given time is studied for a dynamical control system. The initial state is unknown, but belongs to a given finite set of admissible initial states. The information on the position of the system is represented as an integral signal. The control system of ordinary differential equations is reduced to a system of functional-differential equations with the simplification of the form of the signal. The problem of package guidance is formulated for such system and a solvability criterion is proved. For a particular case of the integral signal, the solvability criterion is rewritten in a simplified form. An example is given illustrated the proposed technique by a specific linear control system of differential equations.
Keywords: control, incomplete information, linear systems.
Funding agency Grant number
Russian Science Foundation 14-11-00539
The work is supported by Russian Science Foundation (project no. 14-11-00539).
Received December 11, 2017, published April 10, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34H05,34K35
Language: Russian
Citation: P. G. Surkov, “The problem of package guidance under incomplete information and integral signal of observation”, Sib. Èlektron. Mat. Izv., 15 (2018), 373–388
Citation in format AMSBIB
\Bibitem{Sur18}
\by P.~G.~Surkov
\paper The problem of package guidance under incomplete information and integral signal of observation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 373--388
\mathnet{http://mi.mathnet.ru/semr925}
\crossref{https://doi.org/10.17377/semi.2018.15.034}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3796421}
\zmath{https://zbmath.org/?q=an:06931663}
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