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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 4, Pages 330–337
DOI: https://doi.org/10.1134/S1560354720040024 (Mi rcd1068) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Stability of Potential Systems under the Action of Non-conservative Positional Forces

Ranislav M. Bulatovic

Faculty of Mechanical Engineering, University of Montenegro, Dzordza Vashingtona bb, 81000 Podgorica, Montenegro
Citations (5)
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DOI: https://doi.org/10.1134/S1560354720040024
Abstract: The stability of linear mechanical systems with finite numbers of degrees of freedom subjected to potential and non-conservative positional forces is considered. The positive semidefiniteness of the potential energy is assumed. Three new stability criteria which are in a simple way related to the properties of the system matrices are derived. These criteria improve previously obtained results of the same type. Several simple examples are given to illustrate the correctness and applicability of the obtained results.
Keywords: stability, linear system, potential forces, non-conservative forces.
Funding agency Grant number
Montenegrin Academy of Sciences and Arts
This work was funded in part by the Montenegrin Academy of Sciences.
Received: 08.03.2020
Accepted: 27.05.2020
Bibliographic databases:
Document Type: Article
MSC: 70J25, 70H14
Language: English
Citation: Ranislav M. Bulatovic, “On the Stability of Potential Systems under the Action of Non-conservative Positional Forces”, Regul. Chaotic Dyn., 25:4 (2020), 330–337
Citation in format AMSBIB
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\by Ranislav M. Bulatovic
\paper On the Stability of Potential Systems under the Action of Non-conservative Positional Forces
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 4
\pages 330--337
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\crossref{https://doi.org/10.1134/S1560354720040024}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088785430}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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