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Stabilization of a hybrid systemwith a nonlinear nonmonotone feedback

Published online by Cambridge University Press:  15 August 2002

Eduard FEIREISL  and
Geoffrey O'DOWD
Eduard FEIREISL
Affiliation:
Institut of Mathematics AVCR, Žitna 25, 11567 Prague 1, République Tchèque; feireisl@math.cas.cz.
Geoffrey O'DOWD
Affiliation:
Institut Élie Cartan, BP. 239, 54506 Vandœuvre-lès-Nancy, France; odowd@iecn.u-nancy.fr.
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Abstract

For a hybrid system composed of a cable with masses at both ends, we prove the existence of solutions for a class of nonlinear and nonmonotone feedback laws by means of a priori estimates. Assuming some local monotonicity, strong stabilization is obtained thanks to some Riemann's invariants technique and La Salle's principle.

Keywords

Hybrid systemswave equationstabilization by feedback lawRiemann invariants
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 4 , 1999 , pp. 123 - 135
Copyright
© EDP Sciences, SMAI, 1999

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References

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