This article is cited in 2 papers

On the stability and instability criteria for circulatory systems: A review

Ranislav M. Bulatović

Faculty of Mechanical Engineering, University of Montenegro, Podgorica, Montenegro

Abstract: 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.

MSC: Primary 70J25; Secondary 70H14

Received: 21.10.2020
Revised: 16.11.2020

Language: English

DOI: 10.2298/TAM201021013B

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