Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems

Oleg N. Kirillov

doi:10.1109/PHYCON.2005.1513979

Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems

Oleg N. Kirillov^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The effect of small dissipative and gyroscopic forces on the stability of a linear autonomous non-conservative system of general type is studied. The problem is investigated by sensitivity analysis of multiple roots of the characteristic polynomial of the system whose coefficients are expressed through the invariants of the matrices involved. For systems with two degrees of freedom an explicit approximation of the domain of asymptotic stability is found. As a mechanical example the problem of stability of a mass sliding over a conveyor belt is considered in detail.

Original language	English
Title of host publication	2005 International Conference on Physics and Control, PhysCon 2005, Proceedings
Editors	A L Fradkov
Place of Publication	St Petersburg
Pages	206-211
Number of pages	6
Volume	2005
DOIs	https://doi.org/10.1109/PHYCON.2005.1513979
Publication status	Published - 2005
Externally published	Yes
Event	2005 International Conference on Physics and Control, PhysCon 2005 - St. Petersburg, Russian Federation Duration: 24 Aug 2005 → 26 Aug 2005

Conference

Conference	2005 International Conference on Physics and Control, PhysCon 2005
Country/Territory	Russian Federation
City	St. Petersburg
Period	24/08/05 → 26/08/05

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10.1109/PHYCON.2005.1513979

Cite this

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title = "Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems",

abstract = "The effect of small dissipative and gyroscopic forces on the stability of a linear autonomous non-conservative system of general type is studied. The problem is investigated by sensitivity analysis of multiple roots of the characteristic polynomial of the system whose coefficients are expressed through the invariants of the matrices involved. For systems with two degrees of freedom an explicit approximation of the domain of asymptotic stability is found. As a mechanical example the problem of stability of a mass sliding over a conveyor belt is considered in detail.",

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Kirillov, ON 2005, Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems. in AL Fradkov (ed.), 2005 International Conference on Physics and Control, PhysCon 2005, Proceedings. vol. 2005, 1513979, St Petersburg, pp. 206-211, 2005 International Conference on Physics and Control, PhysCon 2005, St. Petersburg, Russian Federation, 24/08/05. https://doi.org/10.1109/PHYCON.2005.1513979

Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems. / Kirillov, Oleg N.
2005 International Conference on Physics and Control, PhysCon 2005, Proceedings. ed. / A L Fradkov. Vol. 2005 St Petersburg, 2005. p. 206-211 1513979.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The effect of small dissipative and gyroscopic forces on the stability of a linear autonomous non-conservative system of general type is studied. The problem is investigated by sensitivity analysis of multiple roots of the characteristic polynomial of the system whose coefficients are expressed through the invariants of the matrices involved. For systems with two degrees of freedom an explicit approximation of the domain of asymptotic stability is found. As a mechanical example the problem of stability of a mass sliding over a conveyor belt is considered in detail.

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T2 - 2005 International Conference on Physics and Control, PhysCon 2005

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Sensitivity analysis of the roots of the characteristic polynomial and stability of non-conservative systems

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