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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 2, Pages 181–188
DOI: https://doi.org/10.2298/TAM170620010B
(Mi tam28)
 

This article is cited in 1 scientific paper (total in 1 paper)

A note on the complete instability of linear non-conservative undamped systems

Ranislav M. Bulatović

Faculty of Mechanical Engineering, University of Montenegro, Podgorica, Montenegro
Full-text PDF (422 kB) Citations (1)
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Abstract: The note is concerned with the problem of determining the completely unstable linear non-conservative undamped (circulatory) dynamical systems. Several conditions that provide the complete instability for such systems are derived using the direct method of Lyapunov and the concept of controllability. The conditions are expressed directly via the matrices describing the dynamical system.
Keywords: non-conservative system, degree of instability, complete instability.
Received: 20.06.2017
Revised: 20.10.2017
Bibliographic databases:
Document Type: Article
MSC: Primary 70J25; Secondary 70H14
Language: English
Citation: Ranislav M. Bulatović, “A note on the complete instability of linear non-conservative undamped systems”, Theor. Appl. Mech., 44:2 (2017), 181–188
Citation in format AMSBIB
\Bibitem{Bul17}
\by Ranislav~M.~Bulatovi\'c
\paper A note on the complete instability of linear non-conservative undamped systems
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 2
\pages 181--188
\mathnet{http://mi.mathnet.ru/tam28}
\crossref{https://doi.org/10.2298/TAM170620010B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000423915600005}
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  • https://www.mathnet.ru/eng/tam/v44/i2/p181
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Theoretical and Applied Mechanics
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    Abstract page:104
    Full-text PDF :49
    References:15
     
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