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 language | English |
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| Title of host publication | 2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775) |
| Place of Publication | Piscataway |
| Publisher | IEEE |
| Pages | 1090-1095 |
| Number of pages | 6 |
| Volume | 4 |
| ISBN (Electronic) | 078037939X, 9780780379398 |
| ISBN (Print) | 0-7803-7939-X |
| DOIs | |
| Publication status | Published - 14 Oct 2003 |
| Event | 1st International Conference Physics and Control, PhysCon 2003 - Saint Petersburg, Russian Federation Duration: 20 Aug 2003 → 22 Aug 2003 |
Conference
| Conference | 1st International Conference Physics and Control, PhysCon 2003 |
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| Country/Territory | Russian Federation |
| City | Saint Petersburg |
| Period | 20/08/03 → 22/08/03 |
Keywords
- Asymptotic stability
- Circulatory system
- Eigenvalues and eigenfunctions
- Linear matrix inequalities
- Polynomials
- Sufficient conditions