On the Lyapunov stability of linear conservative gyroscopic systems;Sur la stabilité des systèmes linéaires conservatifs et gyroscopiques au sens de Lyapunov

Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Physique, Chimie, Astronomie

Volumn 324, Issue 11, 1997, Pages 679-683

  Bulatovic, Ranislav ^a  

^a UNIVERSITY OF MONTENEGRO   (Montenegro)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744272056     PISSN: 12874620     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1251-8069(97)83173-9     Document Type: Article

References (12)

1. Bulatovic R. On stability of linear potential gyroscopic systems in case when potential energy possesses maximum (in Russian), Prikl. Math. Mekh. (PMM), to appear.
2. Chetayev N. G., 1961. The Stability of Motion, Pergamon Press, New York.
3. Horn R. A., Johnson, C. R., 1985. Matrix Analysis, Cambridge University Press.
4. Huseyin K., Hagedorn P., Teschner W., 1983. On the stability of linear conservative gyroscopic systems, J. Appl. Math. Phys. (ZAMP), 34, 6, p. 807-815.
5. Jinn-Wen Wu, Tsu-Chin Tsao, 1994. A sufficient stability condition for linear conservative gyroscopic systems, ASME J. Appl. Mech., 61, p. 715-717.
6. Lancaster P., 1966. Lamda-Matrices and Vibrating Systems, Pergamon Press, Oxford.
7. Merkin D. R., 1956. Gyroscopic Systems (in Russian), Gostekhizdat, Moscow.
8. Roseau M., 1988. Vibrations in Mechanical Systems, Spring-Verlag, New York.
9. Seyranian A., Stoustrup J., Kliem W., 1994. On gyroscopic stabilization, DCAMM, Technical University of Denmark, Report No 486, p. 13.
10. Thomson W., Tait G., 1879. A Treatise on Natural Philosophy, 1, Part 1, Cambridge University Press.
11. Walker J. A., 1991. Stability of linear conservative gyroscopic systems, ASME J. Appl. Mech., 58, 1991, p. 229-232.
12. Zhuravlov V. F., Klimov, D. M. 1988. Applied Methods in Oscillations (in Russian), Nauka, Moscow.