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Avtomatika i Telemekhanika, 2023, Issue 8, Pages 43–60
DOI: https://doi.org/10.31857/S0005231023080032 (Mi at15906) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Continuous processes with fuzzy states and their applications

V. L. Khatskevich

Military Training and Research Center of the Air Force, Air Force Academy named after N.E. Zhukovsky and Yu.A. Gagarin, Voronezh, Russia
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DOI: https://doi.org/10.31857/S0005231023080032
Abstract: Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.
Keywords: continuous fuzzy processes, means, correlation functions, fuzzy dynamic systems.
Presented by the member of Editorial Board: D. V. Vinogradov

Received: 25.02.2022
Revised: 03.04.2023
Accepted: 09.06.2023
English version:
Automation and Remote Control, 2023, Volume 84, Issue 8, Pages 933–946
DOI: https://doi.org/10.25728/arcRAS.2023.57.24.001
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. L. Khatskevich, “Continuous processes with fuzzy states and their applications”, Avtomat. i Telemekh., 2023, no. 8, 43–60; Autom. Remote Control, 84:8 (2023), 933–946
Citation in format AMSBIB
\Bibitem{Kha23}
\by V.~L.~Khatskevich
\paper Continuous processes with fuzzy states and their applications
\jour Avtomat. i Telemekh.
\yr 2023
\issue 8
\pages 43--60
\mathnet{http://mi.mathnet.ru/at15906}
\crossref{https://doi.org/10.31857/S0005231023080032}
\edn{https://elibrary.ru/HBBOUB}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 8
\pages 933--946
\crossref{https://doi.org/10.25728/arcRAS.2023.57.24.001}
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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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    References:21
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