# Stabilization of second order evolution equations with unbounded feedback with delay

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 2, page 420-456
- ISSN: 1292-8119

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topNicaise, Serge, and Valein, Julie. "Stabilization of second order evolution equations with unbounded feedback with delay." ESAIM: Control, Optimisation and Calculus of Variations 16.2 (2010): 420-456. <http://eudml.org/doc/250719>.

@article{Nicaise2010,

abstract = {
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.
},

author = {Nicaise, Serge, Valein, Julie},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Second order evolution equations; wave equations; delay; stabilization functional; second order evolution equations},

language = {eng},

month = {4},

number = {2},

pages = {420-456},

publisher = {EDP Sciences},

title = {Stabilization of second order evolution equations with unbounded feedback with delay},

url = {http://eudml.org/doc/250719},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Nicaise, Serge

AU - Valein, Julie

TI - Stabilization of second order evolution equations with unbounded feedback with delay

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/4//

PB - EDP Sciences

VL - 16

IS - 2

SP - 420

EP - 456

AB -
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.

LA - eng

KW - Second order evolution equations; wave equations; delay; stabilization functional; second order evolution equations

UR - http://eudml.org/doc/250719

ER -

## References

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