A stability criterion for periodic systems with first integrals

K. Peiffer

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 92, page 165-178
  • ISSN: 0041-8994

How to cite

top

Peiffer, K.. "A stability criterion for periodic systems with first integrals." Rendiconti del Seminario Matematico della Università di Padova 92 (1994): 165-178. <http://eudml.org/doc/108332>.

@article{Peiffer1994,
author = {Peiffer, K.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {stability; first integrals; spherical pendulum},
language = {eng},
pages = {165-178},
publisher = {Seminario Matematico of the University of Padua},
title = {A stability criterion for periodic systems with first integrals},
url = {http://eudml.org/doc/108332},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Peiffer, K.
TI - A stability criterion for periodic systems with first integrals
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 92
SP - 165
EP - 178
LA - eng
KW - stability; first integrals; spherical pendulum
UR - http://eudml.org/doc/108332
ER -

References

top
  1. [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. Zbl0763.34041MR1195303
  2. [2] A. Isidori, Nonlinear Control Systems, Comm. and Control. Eng. Series, 2nd ed., Springer, New York, Heidelberg, Berlin (1989). Zbl0878.93001MR1015932
  3. [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. [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. Zbl0123.05404MR153934
  5. [5] K. Peiffer, A remark on the stability of steady state motions, Diff. Integ. Eqs., 4 (6), (1991) pp. 1195-1207. Zbl0850.70229MR1133752
  6. [6] N. Rouche - P. Habets - M. Laloy, Stability Theory by Liapunov's Direct Method, Applied Mathematical Sciences, 22, Springer, New York, Heidelberg, Berlin (1977). Zbl0364.34022MR450715
  7. [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. Zbl0182.58403
  8. [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. Zbl0058.39302MR72583

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.