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

Abstract

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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.

How to cite

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Dekoninck, 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 -

References

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