# Control of networks of Euler-Bernoulli beams

Bertrand Dekoninck; Serge Nicaise

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

- Volume: 4, page 57-81
- ISSN: 1292-8119

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topDekoninck, Bertrand, and Nicaise, Serge. "Control of networks of Euler-Bernoulli beams." ESAIM: Control, Optimisation and Calculus of Variations 4 (2010): 57-81. <http://eudml.org/doc/197378>.

@article{Dekoninck2010,

abstract = {
We consider the exact controllability problem
by boundary action
of hyperbolic systems of networks of Euler-Bernoulli beams.
Using the multiplier method and Ingham's inequality,
we give sufficient conditions insuring the exact controllability
for all time. These conditions are related to the spectral
behaviour of the associated operator and are sufficiently concrete
in order to be able to check them on particular networks
as illustrated on simple examples.
},

author = {Dekoninck, Bertrand, Nicaise, Serge},

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

keywords = {Control; Euler-Bernoulli beams;
networks; spectral analysis; Petrovsky systems; hyperbolic systems; networks of Euler-Bernoulli beams; multiplier method; Ingham's inequality; exact controllability},

language = {eng},

month = {3},

pages = {57-81},

publisher = {EDP Sciences},

title = {Control of networks of Euler-Bernoulli beams},

url = {http://eudml.org/doc/197378},

volume = {4},

year = {2010},

}

TY - JOUR

AU - Dekoninck, Bertrand

AU - Nicaise, Serge

TI - Control of networks of Euler-Bernoulli beams

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 4

SP - 57

EP - 81

AB -
We consider the exact controllability problem
by boundary action
of hyperbolic systems of networks of Euler-Bernoulli beams.
Using the multiplier method and Ingham's inequality,
we give sufficient conditions insuring the exact controllability
for all time. These conditions are related to the spectral
behaviour of the associated operator and are sufficiently concrete
in order to be able to check them on particular networks
as illustrated on simple examples.

LA - eng

KW - Control; Euler-Bernoulli beams;
networks; spectral analysis; Petrovsky systems; hyperbolic systems; networks of Euler-Bernoulli beams; multiplier method; Ingham's inequality; exact controllability

UR - http://eudml.org/doc/197378

ER -

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