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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2010

Stabilization of second order evolution equations with unbounded feedback with delay

Résumé

We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our abstract framework are presented.

Dates et versions

hal-00599632 , version 1 (10-06-2011)

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Serge Nicaise, Julie Valein. Stabilization of second order evolution equations with unbounded feedback with delay. ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (2), pp.420-456. ⟨10.1051/cocv/2009007⟩. ⟨hal-00599632⟩
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