On the stability and instability criteria for circulatory systems: A review
Theoretical and applied mechanics, Tome 47 (2020) no. 2, p. 169
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A survey of the selected published criteria – expressed by the properties of the system matrices – for the stability and instability of linear mechanical systems subjected to potential and circulatory forces is presented. In particular, recent generalizations of the well-known Merkin instability theorem are reported. Several simple numerical examples are used to illustrate the usefulness of the presented criteria and also to compare them.
Classification :
70J25, 70H14
Keywords: linear system, stability, potential force, circulatory force
Keywords: linear system, stability, potential force, circulatory force
Ranislav M. Bulatović. On the stability and instability criteria for circulatory systems: A review. Theoretical and applied mechanics, Tome 47 (2020) no. 2, p. 169 . doi: 10.2298/TAM201021013B
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author = {Ranislav M. Bulatovi\'c},
title = {On the stability and instability criteria for circulatory systems: {A} review},
journal = {Theoretical and applied mechanics},
pages = {169 },
year = {2020},
volume = {47},
number = {2},
doi = {10.2298/TAM201021013B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM201021013B/}
}
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