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 proceedingConference contributionpeer-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 languageEnglish
Title of host publication2005 International Conference on Physics and Control, PhysCon 2005, Proceedings
EditorsA L Fradkov
Place of PublicationSt Petersburg
Pages206-211
Number of pages6
Volume2005
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event2005 International Conference on Physics and Control, PhysCon 2005 - St. Petersburg, Russian Federation
Duration: 24 Aug 200526 Aug 2005

Conference

Conference2005 International Conference on Physics and Control, PhysCon 2005
CountryRussian Federation
CitySt. Petersburg
Period24/08/0526/08/05

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