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 Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 373–388 (Mi semr925)

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

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).

DOI: https://doi.org/10.17377/semi.2018.15.034

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Document Type: Article
UDC: 517.977
MSC: 34H05,34K35
Received December 11, 2017, published April 10, 2018

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://www.ams.org/mathscinet-getitem?mr=3796421} \zmath{https://zbmath.org/?q=an:06931663} `