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Avtomatika i Telemekhanika, 2009, Issue 8, Pages 40–48 (Mi at511)  
This article is cited in 5 scientific papers (total in 5 papers)

Deterministic Systems

Attracting ellipsoids and synthesis of oscillatory regimes

A. S. Gorobtsov, O. E. Grigor'eva, E. N. Ryzhov

Volgograd State Technical University
Full-text PDF (208 kB) Citations (5)
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Abstract: An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V. I. Zubov's stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces $\mathbf{R}^{2k}\subset\mathbf{R}^{2n}$ with simultaneous oscillation damping on Cartesian products $\mathbf{R}^{2n-2k}$.
Presented by the member of Editorial Board: B. T. Polyak

Received: 18.06.2007
English version:
Automation and Remote Control, 2009, Volume 70, Issue 8, Pages 1301–1308
DOI: https://doi.org/10.1134/S0005117909080037
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. S. Gorobtsov, O. E. Grigor'eva, E. N. Ryzhov, “Attracting ellipsoids and synthesis of oscillatory regimes”, Avtomat. i Telemekh., 2009, no. 8, 40–48; Autom. Remote Control, 70:8 (2009), 1301–1308
Citation in format AMSBIB
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\pages 40--48
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:32
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