A stability criterion for periodic systems with first integrals
Peiffer, K.
Rendiconti del Seminario Matematico della Università di Padova, Tome 92 (1994), p. 165-178 / Harvested from Numdam
Publié le : 1994-01-01
@article{RSMUP_1994__92__165_0,
     author = {Peiffer, K.},
     title = {A stability criterion for periodic systems with first integrals},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {92},
     year = {1994},
     pages = {165-178},
     mrnumber = {1320485},
     zbl = {0827.34044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1994__92__165_0}
}
Peiffer, K. A stability criterion for periodic systems with first integrals. Rendiconti del Seminario Matematico della Università di Padova, Tome 92 (1994) pp. 165-178. http://gdmltest.u-ga.fr/item/RSMUP_1994__92__165_0/

[1] D. Aeyels - R. Sepulchre, Stability for dynamical systems with first integrals: a topological criterion, Systems and Control letters, North-Holland, 19 (1992), pp. 461-465. | MR 1195303 | Zbl 0763.34041

[2] A. Isidori, Nonlinear Control Systems, Comm. and Control. Eng. Series, 2nd ed., Springer, New York, Heidelberg, Berlin (1989). | MR 1015932 | Zbl 0878.93001

[3] N.N. Krasovskii, Problems of the Theory of Stability of Motion, Stanford Univ. Press, Stanford, California (1963); translation of the Russian edition, Moscow (1959).

[4] V.M. Matrosov, On the stability of motion, J. Appl. Math. Mech., 26 (1962), pp. 1337-1353; transl. from P.M.M., 26 (1962), pp. 885-895. | MR 153934 | Zbl 0123.05404

[5] K. Peiffer, A remark on the stability of steady state motions, Diff. Integ. Eqs., 4 (6), (1991) pp. 1195-1207. | MR 1133752 | Zbl 0850.70229

[6] N. Rouche - P. Habets - M. Laloy, Stability Theory by Liapunov's Direct Method, Applied Mathematical Sciences, 22, Springer, New York, Heidelberg, Berlin (1977). | MR 450715 | Zbl 0364.34022

[7] V.V. Rumjantsev, On the stability of steady state motions, J. App. Math. Mech., 32 (3) (1968), pp. 517-521; transl. from P.M.M., 32(3) (1968), pp. 504-508. | Zbl 0182.58403

[8] L. Salvadori, Un osservazione su un criterio di stabilità del Routh, Rend. Ac. Sci. Fis.-Mat. Napoli, 20, ser. 4 (1953), pp. 269-275. | MR 72583 | Zbl 0058.39302