# Stabilization of a layered piezoelectric 3-D body by boundary dissipation

Boris Kapitonov; Bernadette Miara; Gustavo Perla Menzala

ESAIM: Control, Optimisation and Calculus of Variations (2006)

- Volume: 12, Issue: 2, page 198-215
- ISSN: 1292-8119

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topKapitonov, Boris, Miara, Bernadette, and Menzala, Gustavo Perla. "Stabilization of a layered piezoelectric 3-D body by boundary dissipation." ESAIM: Control, Optimisation and Calculus of Variations 12.2 (2006): 198-215. <http://eudml.org/doc/249622>.

@article{Kapitonov2006,

abstract = {
We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary control via a classical result due to Russell.
},

author = {Kapitonov, Boris, Miara, Bernadette, Menzala, Gustavo Perla},

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

keywords = {Distributed systems; boundary control; stabilization; exact controllability.; distributed systems; exact controllability},

language = {eng},

month = {3},

number = {2},

pages = {198-215},

publisher = {EDP Sciences},

title = {Stabilization of a layered piezoelectric 3-D body by boundary dissipation},

url = {http://eudml.org/doc/249622},

volume = {12},

year = {2006},

}

TY - JOUR

AU - Kapitonov, Boris

AU - Miara, Bernadette

AU - Menzala, Gustavo Perla

TI - Stabilization of a layered piezoelectric 3-D body by boundary dissipation

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2006/3//

PB - EDP Sciences

VL - 12

IS - 2

SP - 198

EP - 215

AB -
We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary control via a classical result due to Russell.

LA - eng

KW - Distributed systems; boundary control; stabilization; exact controllability.; distributed systems; exact controllability

UR - http://eudml.org/doc/249622

ER -

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