# Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach

Jun-Min Wang; Bao-Zhu Guo; Boumediène Chentouf

ESAIM: Control, Optimisation and Calculus of Variations (2005)

- Volume: 12, Issue: 1, page 12-34
- ISSN: 1292-8119

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topWang, Jun-Min, Guo, Bao-Zhu, and Chentouf, Boumediène. "Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach." ESAIM: Control, Optimisation and Calculus of Variations 12.1 (2005): 12-34. <http://eudml.org/doc/90785>.

@article{Wang2005,

abstract = {
In this paper, we consider the boundary stabilization of a
sandwich beam which consists of two outer stiff layers and a
compliant middle layer. Using Riesz basis approach, we show that
there is a sequence of generalized eigenfunctions, which forms a
Riesz basis in the state space. As a consequence, the
spectrum-determined growth condition as well as the exponential
stability of the closed-loop system are concluded. Finally, the
well-posedness and regularity in the sense of Salamon-Weiss class
as well as the exact controllability are also addressed.
},

author = {Wang, Jun-Min, Guo, Bao-Zhu, Chentouf, Boumediène},

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

keywords = {Riesz basis; sandwich beam;
exponential stability; exact controllability.; exponential stability; exact controllability},

language = {eng},

month = {12},

number = {1},

pages = {12-34},

publisher = {EDP Sciences},

title = {Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach},

url = {http://eudml.org/doc/90785},

volume = {12},

year = {2005},

}

TY - JOUR

AU - Wang, Jun-Min

AU - Guo, Bao-Zhu

AU - Chentouf, Boumediène

TI - Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2005/12//

PB - EDP Sciences

VL - 12

IS - 1

SP - 12

EP - 34

AB -
In this paper, we consider the boundary stabilization of a
sandwich beam which consists of two outer stiff layers and a
compliant middle layer. Using Riesz basis approach, we show that
there is a sequence of generalized eigenfunctions, which forms a
Riesz basis in the state space. As a consequence, the
spectrum-determined growth condition as well as the exponential
stability of the closed-loop system are concluded. Finally, the
well-posedness and regularity in the sense of Salamon-Weiss class
as well as the exact controllability are also addressed.

LA - eng

KW - Riesz basis; sandwich beam;
exponential stability; exact controllability.; exponential stability; exact controllability

UR - http://eudml.org/doc/90785

ER -

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