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Avtomatika i Telemekhanika, 2009, Issue 1, Pages 85–103 (Mi at10)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

On the properties of the identically singular Lagrange problem

V. F. Chistyakova, M. Pešićb

a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
b Department of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
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Abstract: We consider the identically singular Lagrange problem of the calculus of variations. It is investigated how the conjugate points and the Jacobi equation index are related to the solvability conditions of the appropriate matrix Riccati equation and the reducibility of the functional to a perfect square. The criterion of the trajectory variation smallness at a small variation of the functional in the neighborhood of the extremal is obtained.
Presented by the member of Editorial Board: B. T. Polyak

Received: 27.04.2006
English version:
Automation and Remote Control, 2009, Volume 70, Issue 1, Pages 74–91
DOI: https://doi.org/10.1134/S0005117909010068
Bibliographic databases:
Document Type: Article
PACS: 46.15.Cc
Language: Russian
Citation: V. F. Chistyakov, M. Pešić, “On the properties of the identically singular Lagrange problem”, Avtomat. i Telemekh., 2009, no. 1, 85–103; Autom. Remote Control, 70:1 (2009), 74–91
Citation in format AMSBIB
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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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