Stabilization of a hybrid system with a nonlinear nonmonotone feedback

Eduard FEIREISL; Geoffrey O'DOWD

doi:10.1051/cocv:1999106

All issues

Volume 4 (1999)

ESAIM: COCV, 4 (1999) 123-135

References

Free Access

Issue		ESAIM: COCV Volume 4, 1999


Page(s)		123 - 135
DOI		https://doi.org/10.1051/cocv:1999106
Published online		15 August 2002

B. D'Andréa-Novel, F. Boustany, F. Conrad and B. Rao, Feedback stabilization of a hybrid PDE-ODE system. Math. Control Signals Systems (1994) 1-22.
H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North Holland (1973).
C.M. Dafermos and M. Slemrod, Asymptotic behaviour of nonlinear contraction semi-groups. J. Funct. Anal. 13 (1973) 97-106. [CrossRef]
A. Mifdal, Stabilisation uniforme d'un système hybride, C.R. Acad. Sci. Paris, 324, Série I (1997) 37-42.
A. Mifdal, Étude de la stabilité forte et uniforme d'un système hybride. Application à un modèle de pont roulant, Thèse de l'Université de Nancy I (1997).
B. Rao, Decay estimates of solutions for a hybrid system of flexible structures. Eur. J. Appl. Math. (1993) 303-319.
D.L. Russell, Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods. J. Diff. Eq. 19 (1975) 344-370. [CrossRef] [MathSciNet]

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[1] B. D'Andréa-Novel, F. Boustany, F. Conrad and B. Rao, Feedback stabilization of a hybrid PDE-ODE system. Math. Control Signals Systems (1994) 1-22.

[2] H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North Holland (1973).

[3] C.M. Dafermos and M. Slemrod, Asymptotic behaviour of nonlinear contraction semi-groups. J. Funct. Anal. 13 (1973) 97-106. [CrossRef]

[4] A. Mifdal, Stabilisation uniforme d'un système hybride, C.R. Acad. Sci. Paris, 324, Série I (1997) 37-42.

[5] A. Mifdal, Étude de la stabilité forte et uniforme d'un système hybride. Application à un modèle de pont roulant, Thèse de l'Université de Nancy I (1997).

[6] B. Rao, Decay estimates of solutions for a hybrid system of flexible structures. Eur. J. Appl. Math. (1993) 303-319.

[7] D.L. Russell, Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods. J. Diff. Eq. 19 (1975) 344-370. [CrossRef] [MathSciNet]