Stabilization of a hybrid system with a nonlinear nonmonotone feedback
Eduard Feireisl; Geoffrey O'Dowd
ESAIM: Control, Optimisation and Calculus of Variations (1999)
- Volume: 4, page 123-135
- ISSN: 1292-8119
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topFeireisl, Eduard, and O'Dowd, Geoffrey. "Stabilization of a hybrid system with a nonlinear nonmonotone feedback." ESAIM: Control, Optimisation and Calculus of Variations 4 (1999): 123-135. <http://eudml.org/doc/90537>.
@article{Feireisl1999,
author = {Feireisl, Eduard, O'Dowd, Geoffrey},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {well-posedness; wave equation; Riemann invariants; hybrid system; evolution equation; maximal monotone operators; stabilization; local monotonicity; La Salle's principle},
language = {eng},
pages = {123-135},
publisher = {EDP Sciences},
title = {Stabilization of a hybrid system with a nonlinear nonmonotone feedback},
url = {http://eudml.org/doc/90537},
volume = {4},
year = {1999},
}
TY - JOUR
AU - Feireisl, Eduard
AU - O'Dowd, Geoffrey
TI - Stabilization of a hybrid system with a nonlinear nonmonotone feedback
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1999
PB - EDP Sciences
VL - 4
SP - 123
EP - 135
LA - eng
KW - well-posedness; wave equation; Riemann invariants; hybrid system; evolution equation; maximal monotone operators; stabilization; local monotonicity; La Salle's principle
UR - http://eudml.org/doc/90537
ER -
References
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- [2] H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North Holland ( 1973). Zbl0252.47055MR348562
- [3] C.M. Dafermos and M. Slemrod, Asymptotic behaviour of nonlinear contraction semi-groups. J. Funct. Anal. 13 ( 1973), 97-106. Zbl0267.34062MR346611
- [4] A. Mifdal, Stabilisation uniforme d'un système hybride, C.R. Acad. Sci. Paris, 324, Série I ( 1997), 37-42. Zbl0877.35068MR1435584
- [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. Zbl0786.73039MR1236344
- [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. Zbl0326.93018MR425291
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