How do small velocity-dependent forces (de)stabilize a non-conservative system?

Oleg Kirillov*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

The influence of small velocity-dependent forces on the stability of a linear autonomous non-conservative system of general type is studied. The problem is investigated by an approach based on the analysis of multiple roots of the characteristic polynomial whose coefficients are expressed through the invariants of the matrices of a non-conservative system. For systems with two degrees of freedom approximations of the domain asymptotic stability are constructed and the structure of the matrix of velocity-dependent forces stabilizing a circulatory system is found. As mechanical examples the Bolotin problem and the Herrman-Jong pendulum are considered in detail.
Original languageEnglish
Title of host publication2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)
Place of PublicationPiscataway
PublisherIEEE
Pages1090-1095
Number of pages6
Volume4
ISBN (Electronic)078037939X, 9780780379398
ISBN (Print)0-7803-7939-X
DOIs
Publication statusPublished - 14 Oct 2003
Event1st International Conference Physics and Control, PhysCon 2003 - Saint Petersburg, Russian Federation
Duration: 20 Aug 200322 Aug 2003

Conference

Conference1st International Conference Physics and Control, PhysCon 2003
CountryRussian Federation
CitySaint Petersburg
Period20/08/0322/08/03

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