Asymptotic stability for perturbed hamiltonian systems, II
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)
- Volume: 23, Issue: 3, page 531-549
- ISSN: 0391-173X
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topLeoni, Giovanni. "Asymptotic stability for perturbed hamiltonian systems, II." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.3 (1996): 531-549. <http://eudml.org/doc/84239>.
@article{Leoni1996,
author = {Leoni, Giovanni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {asymptotic stability; Lyapunov's function},
language = {eng},
number = {3},
pages = {531-549},
publisher = {Scuola normale superiore},
title = {Asymptotic stability for perturbed hamiltonian systems, II},
url = {http://eudml.org/doc/84239},
volume = {23},
year = {1996},
}
TY - JOUR
AU - Leoni, Giovanni
TI - Asymptotic stability for perturbed hamiltonian systems, II
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 3
SP - 531
EP - 549
LA - eng
KW - asymptotic stability; Lyapunov's function
UR - http://eudml.org/doc/84239
ER -
References
top- [1] A. Artestein - E.F. Infante, On the asymptotic stability of oscillators with unbounded damping, Quart. Appl. Math.34 (1976), 195-199. Zbl0336.34048MR466789
- [2] R.J. Ballieu - K. Peiffer, Attractivity of the origin for the equation x + f (t, x, x) |x|α + g(x) = 0, J. Math. Anal. Appl.65 (1978), 321-332. Zbl0387.34038
- [3] T.A. Burton, On the equation x'' + f(x)h(x')x'+ g(x) = e(t), Ann. Math. Pura Appl.85 (1970), 227-285. Zbl0194.40203MR262595
- [4] E.A. Coddington - N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955. Zbl0064.33002MR69338
- [5] R.J. Duffin, Stability of systems with nonlinear damping, J. Math. Anal. Appl.23 (1968), 428-439. Zbl0167.37701MR227542
- [6] L. Hatvani, Nonlinear oscillation with large damping, Dynamical Systems and Applications1 (1992), 257-270. Zbl0763.34042MR1182648
- [7] V. Lakshmikantham - V.M. Matrosov - S. Sivasundaram, Vector Liapunov Functions and Stability Analysis of Nonlinear Systems, Kluwer Academic Pub., 1991. Zbl0721.34054MR1206904
- [8] G. Leoni, A note on a theorem of Pucci& Serrin, J. Differential Equations113 (1994), 535-542. Zbl0814.34034MR1297669
- [9] G. Leoni, Asymptotic stability for perturbed Hamiltonian systems, Arch. Rational Mech. Anal.128 (1994), 105-125. Zbl0853.58068MR1308849
- [10] G. Leoni, Existence and asymptotic stability for perturbed Lagrangian and Hamiltonian systems, (1995), Ph.D. thesis, University of Minesota.
- [11] G. Leoni - M. Manfredini - P. Pucci, Stability properties for solutions of general Euler-Lagrange systems, Differential Integral Equations5 (1992), 537-552. Zbl0758.34036MR1157486
- [12] J.J. Levin - J.A. Nohel, Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics, Arch. Rational Mech. Anal.5 (1960), 194-211. Zbl0094.06402MR119524
- [13] L. Perko, Differential Equations and Dynamical Systems, Springer-Verlag, New York, 1992. Zbl0717.34001
- [14] P. Pucci - J. Serrin, A general variational identity, Indiana Univ. Math. J.35 (1986), 681-703. Zbl0625.35027MR855181
- [15] P. Pucci - J. Serrin, Asymptotic stability for non-autonomous damped wave systems, Comm. Pure Appl. Math. 49 (1996), 177-216. Zbl0865.35089MR1371927
- [16] P. Pucci - J. Serrin, Asymptotic stability for nonlinear parabolic systems, Proc. of Conference on "Energy Methods in Continuum Mechanics", Kluwer Pl., 1995. Zbl0874.35056MR1431518
- [17] P. Pucci - J. Serrin, On the derivation of Hamiltonian's equations, Arch. Rational Mech. Anal.125 (1994), 297-310. Zbl0809.70012MR1253166
- [18] P. Pucci - J. Serrin, Precise damping conditions for global asymptotic stability for nonlinear second order systems, Acta Math.170 (1993), 275-307. Zbl0797.34059MR1226530
- [19] P. Pucci - J. Serrin, Precise damping conditions for global asymptotic stability for nonlinear second order systems, II, J. Differential Equations113 (1994), 505-534. Zbl0814.34033MR1297668
- [20] P. Pucci - J. Serrin, Remarks on Lyapunov stability, Differential Integral Equations8 (1995), 1265-1277. Zbl0844.34055MR1329840
- [21] L. Salvatori, Famiglie ad un parametro di funzioni di Liapunov nello studio della stabilità, Symposia Math. Pubbl. INDAM6 (1971), 309-330. Zbl0243.34099MR279396
- [22] R.A. Smith, Asymptotic stability of x'' + a(t)x' + x = 0, Quart. J. Math. Oxford12 (1961), 123-126. Zbl0103.05604MR124582
- [23] M. Takegaki - S. Arimoto, A new feedback method for dynamic control of manipulators, J. Dyn. Systems, Meas. Control103 (1981), 119-125. Zbl0473.93012
- [24] L.H. Thurston - J.W. Wong, On global asymptotic stability of certain second order differential equations with integrable forcing terms, SIAM J. Appl. Math.24 (1973), 50-61. Zbl0279.34041MR380021
- [25] A.J. Der Schaft, Stabilization of Hamiltonian systems, Nonlinear Anal.10 (1986), 1021-1035. Zbl0613.93049MR857737
- [26] T. Yoshizawa, Asymptotic behavior of solutions of a system of differential equations, Contributions to Differential Equations1 (1963), 371-387. Zbl0127.30802MR148991
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