Stabilization of second order evolution equations with unbounded feedback with delay
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 420-456.

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.

DOI : https://doi.org/10.1051/cocv/2009007
Classification : 93D15,  93C20
Mots clés : second order evolution equations, wave equations, delay, stabilization functional
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     author = {Nicaise, Serge and Valein, Julie},
     title = {Stabilization of second order evolution equations with unbounded feedback with delay},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
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Nicaise, Serge; Valein, Julie. Stabilization of second order evolution equations with unbounded feedback with delay. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 420-456. doi : 10.1051/cocv/2009007. http://archive.numdam.org/articles/10.1051/cocv/2009007/

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