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Avtomatika i Telemekhanika, 2007, Issue 10, Pages 106–124 (Mi at1068)  
Stability of Systems

On correctness of probabilistic stabilization

A. N. Kotel'nikova, N. N. Krasovskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: Consideration is given to the controlled object with aftereffect under indefinite and stochastic noises. The problem of feedback stabilization with probabilistic actions is discussed. Noises in the form of retarded actions of the motion history are admitted; also, the control of retarded actions of the motion history is tolerated. The paper is based on the Lyapunov stability theory [1] modernized for hereditary and stochastic systems. The approach typical of the control theory in the presence of a conflict or uncertainty is used.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 14.12.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 10, Pages 1826–1843
DOI: https://doi.org/10.1134/S0005117907100104
Bibliographic databases:
Document Type: Article
PACS: 02.30.Oz, 47.20.Ky
Language: Russian
Citation: A. N. Kotel'nikova, N. N. Krasovskii, “On correctness of probabilistic stabilization”, Avtomat. i Telemekh., 2007, no. 10, 106–124; Autom. Remote Control, 68:10 (2007), 1826–1843
Citation in format AMSBIB
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\paper On correctness of probabilistic stabilization
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\pages 106--124
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\transl
\jour Autom. Remote Control
\yr 2007
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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