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Stabilization of a hybrid system with a nonlinear nonmonotone feedback

Eduard Feireisl; Geoffrey O'Dowd — 1999

ESAIM: Control, Optimisation and Calculus of Variations

Stabilization of a hybrid system with a nonlinear nonmonotone feedback

Eduard FEIREISL; Geoffrey O'DOWD — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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 estimates. Assuming some local monotonicity, strong stabilization is obtained thanks to some Riemann's invariants technique and La Salle's principle.

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