To the stability of non-conservative systems in one degenerate case

Агафонов, С. А.

doi:10.1109/phycon.2003.1237052

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“…It is frequently the case that the potential matrix is positive definite ( > 0). For this case, using Lyapunov's direct method, Agafonov [12,13] proved the following result.…”

Section: Stability Criteriamentioning

confidence: 90%

See 1 more Smart Citation

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

Bulatović

2020

Theor appl mech (Belgr)

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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.

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“…It is frequently the case that the potential matrix is positive definite ( > 0). For this case, using Lyapunov's direct method, Agafonov [12,13] proved the following result.…”

Section: Stability Criteriamentioning

confidence: 90%

“…. When the potential matrix is not positive definite, the following condition sufficient for stability which was also obtained by Agafonov [12] can be used.…”

Section: Stability Criteriamentioning

confidence: 99%

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

Bulatović

2020

Theor appl mech (Belgr)

View full text Add to dashboard Cite

show abstract

To the stability of non-conservative systems in one degenerate case

Cited by 1 publication

References 0 publications

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

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

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