Stabilization of second order evolution equations with unbounded feedback with delay

Serge Nicaise; Julie Valein

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

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

Abstract

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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.

How to cite

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Nicaise, 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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