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Avtomatika i Telemekhanika, 2013, Issue 3, Pages 83–102 (Mi at5036)  
This article is cited in 6 scientific papers (total in 6 papers)

Topical issue

Petrov invariants of Hamiltonian systems with a control parameter

A. G. Kushnerab, V. V. Lychaginbc

a Moscow State University, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
c University of Tromsø, Tromsø, Norway
Full-text PDF (269 kB) Citations (6)
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Abstract: The problem is considered of the classification of Hamiltonian systems with a scalar control parameter relative to feedback transformations. Differential invariants of these systems, which are called Petrov invariants, are set up. The dimensions of algebras of these invariants are found. The conditions of global equivalence of regular Hamiltonian systems with the control parameter are found in terms of Petrov invariants.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 16.09.2012
English version:
Automation and Remote Control, 2013, Volume 74, Issue 3, Pages 385–400
DOI: https://doi.org/10.1134/S0005117913030053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Kushner, V. V. Lychagin, “Petrov invariants of Hamiltonian systems with a control parameter”, Avtomat. i Telemekh., 2013, no. 3, 83–102; Autom. Remote Control, 74:3 (2013), 385–400
Citation in format AMSBIB
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\by A.~G.~Kushner, V.~V.~Lychagin
\paper Petrov invariants of Hamiltonian systems with a~control parameter
\jour Avtomat. i Telemekh.
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\issue 3
\pages 83--102
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\jour Autom. Remote Control
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\vol 74
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\pages 385--400
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  • https://www.mathnet.ru/eng/at/y2013/i3/p83
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Full-text PDF :79
    References:54
    First page:25
     
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