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Matematicheskie Zametki, 2023, Volume 114, Issue 1, Pages 104–112
DOI: https://doi.org/10.4213/mzm13925 (Mi mzm13925) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes

M. I. Kamenskiia, V. V. Obukhovskiib, G. Petrosyanb

a Voronezh State University
b Voronezh State Pedagogical University
Full-text PDF (612 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13925
Abstract: In the present paper, we consider a control system with feedback in the form of sweeping processes in Hilbert spaces. Using the notion of generalized metric space and A. I. Perov's contraction mapping principle, we present a theorem on the existence and uniqueness of an almost periodic solution of this system and justify the application of the averaging principle to systems of this kind.
Keywords: differential equation, control system, differential inclusion, sweeping process, almost periodic function, generalized metric space, generalized contraction operator, exponentially stable matrix.
Funding agency Grant number
Russian Science Foundation 22-71-10008
This work was financially supported by the Russian Science Foundation, project no. 22-71-10008, https://rscf.ru/en/project/22-71-10008/.
Received: 15.02.2023
Published: 07.07.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 1, Pages 85–91
DOI: https://doi.org/10.1134/S0001434623070088
Bibliographic databases:
Document Type: Article
UDC: 517.928
MSC: 34A60; 34C27; 34C29
Language: Russian
Citation: M. I. Kamenskii, V. V. Obukhovskii, G. Petrosyan, “On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes”, Mat. Zametki, 114:1 (2023), 104–112; Math. Notes, 114:1 (2023), 85–91
Citation in format AMSBIB
\Bibitem{KamObuPet23}
\by M.~I.~Kamenskii, V.~V.~Obukhovskii, G.~Petrosyan
\paper On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 1
\pages 104--112
\mathnet{http://mi.mathnet.ru/mzm13925}
\crossref{https://doi.org/10.4213/mzm13925}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4634774}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 1
\pages 85--91
\crossref{https://doi.org/10.1134/S0001434623070088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168612119}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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