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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 2, Pages 249–263
DOI: https://doi.org/10.21538/0134-4889-2021-27-2-249-263 (Mi timm1830) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a Problem of Impulse Control under Disturbance and Possible Breakdown

V. N. Ushakova, V. I. Ukhobotovab, I. V. Izmestyevab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Chelyabinsk State University
Full-text PDF (242 kB) Citations (3)
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DOI: https://doi.org/10.21538/0134-4889-2021-27-2-249-263
Abstract: We consider a linear problem with impulse control under an uncontrolled disturbance. The only information available about the disturbance is a connected compact set of its possible values. It is believed that one breakdown may occur and lead to a change in the dynamics of the control process. The time of the breakdown is not known in advance. Only the length of a time interval required to eliminate the breakdown is known. The goal of the control process is to ensure that the value of a linear function of the phase coordinates at a fixed point in time belongs to a given closed interval. The control is constructed based on the principle of minimization of the guaranteed result. The opponents are the disturbance and the time of the breakdown. Sufficient conditions are found under which the problem has a solution. A guaranteeing control is constructed.
Keywords: control, impulse control, disturbance, breakdown.
Funding agency Grant number
Russian Science Foundation 19-11-00105
This work was supported by the Russian Science Foundation (project no. 19-11-00105).
Received: 01.02.2021
Revised: 01.03.2021
Accepted: 15.03.2021
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2021, Volume 315, Issue 1, Pages S236–S249
DOI: https://doi.org/10.1134/S0081543821060195
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N70, 49N75, 91A23, 91A24
Language: Russian
Citation: V. N. Ushakov, V. I. Ukhobotov, I. V. Izmestyev, “On a Problem of Impulse Control under Disturbance and Possible Breakdown”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 2, 2021, 249–263; Proc. Steklov Inst. Math., 315, suppl. 1 (2021), S236–S249
Citation in format AMSBIB
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\paper On a Problem of Impulse Control under Disturbance and Possible Breakdown
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2021
\vol 27
\issue 2
\pages 249--263
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\jour Proc. Steklov Inst. Math.
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