# Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions

Scott W. Hansen; Oleg Imanuvilov

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 4, page 1101-1132
- ISSN: 1292-8119

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topHansen, Scott W., and Imanuvilov, Oleg. "Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions." ESAIM: Control, Optimisation and Calculus of Variations 17.4 (2011): 1101-1132. <http://eudml.org/doc/276325>.

@article{Hansen2011,

abstract = {
Exact controllability
results for a multilayer plate system are obtained from the method of Carleman estimates.
The multilayer plate system is a natural multilayer generalization of a classical three-layer “sandwich
plate” system due to Rao and Nakra. The multilayer version involves a number of
Lamé systems for plane elasticity coupled with a scalar Kirchhoff plate equation.
The plate is assumed to be either clamped or hinged and controls
are assumed to be locally
distributed in a neighborhood of a portion of the boundary. The Carleman estimates developed for the
coupled system are based on some new Carleman estimates for the Kirchhoff plate as well as some known Carleman
estimates due to Imanuvilov and Yamamoto for the Lamé system.
},

author = {Hansen, Scott W., Imanuvilov, Oleg},

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

keywords = {Carleman estimates; exact controllability;
multilayer plate; Lamé system; Kirchhoff plate; exact controllability results; multilayer plate system; method of Carleman estimates},

language = {eng},

month = {11},

number = {4},

pages = {1101-1132},

publisher = {EDP Sciences},

title = {Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions},

url = {http://eudml.org/doc/276325},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Hansen, Scott W.

AU - Imanuvilov, Oleg

TI - Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/11//

PB - EDP Sciences

VL - 17

IS - 4

SP - 1101

EP - 1132

AB -
Exact controllability
results for a multilayer plate system are obtained from the method of Carleman estimates.
The multilayer plate system is a natural multilayer generalization of a classical three-layer “sandwich
plate” system due to Rao and Nakra. The multilayer version involves a number of
Lamé systems for plane elasticity coupled with a scalar Kirchhoff plate equation.
The plate is assumed to be either clamped or hinged and controls
are assumed to be locally
distributed in a neighborhood of a portion of the boundary. The Carleman estimates developed for the
coupled system are based on some new Carleman estimates for the Kirchhoff plate as well as some known Carleman
estimates due to Imanuvilov and Yamamoto for the Lamé system.

LA - eng

KW - Carleman estimates; exact controllability;
multilayer plate; Lamé system; Kirchhoff plate; exact controllability results; multilayer plate system; method of Carleman estimates

UR - http://eudml.org/doc/276325

ER -

## References

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