Geodesic
On the stability and instability criteria for circulatory systems: A review
Theoretical and applied mechanics, Tome 47 (2020) no. 2

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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.
Keywords: linear system, stability, potential force, circulatory force 
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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 - 179},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2020},
     url = {http://geodesic.mathdoc.fr/item/TAM_2020_47_2_a3/}
}
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Ranislav M. Bulatović. On the stability and instability criteria for circulatory systems: A review. Theoretical and applied mechanics, Tome 47 (2020) no. 2. http://geodesic.mathdoc.fr/item/TAM_2020_47_2_a3/