# Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

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

- Volume: 6, page 183-199
- ISSN: 1292-8119

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topRao, Bopeng. "Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 183-199. <http://eudml.org/doc/197365>.

@article{Rao2010,

abstract = {
We consider the exact controllability of a hybrid
system consisting of an elastic beam, clamped at one end and attached
at the other end to a
rigid antenna. Such a system is governed by one partial
differential equation and two ordinary differential equations. Using the
HUM method, we prove that the hybrid system is exactly
controllable in an arbitrarily short time in the usual energy space.
},

author = {Rao, Bopeng},

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

keywords = {Hybrid system; weak solution; exact controllability; singular control; unique continuation.; exact boundary controllability; elastic beam; coupled system},

language = {eng},

month = {3},

pages = {183-199},

publisher = {EDP Sciences},

title = {Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method},

url = {http://eudml.org/doc/197365},

volume = {6},

year = {2010},

}

TY - JOUR

AU - Rao, Bopeng

TI - Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 6

SP - 183

EP - 199

AB -
We consider the exact controllability of a hybrid
system consisting of an elastic beam, clamped at one end and attached
at the other end to a
rigid antenna. Such a system is governed by one partial
differential equation and two ordinary differential equations. Using the
HUM method, we prove that the hybrid system is exactly
controllable in an arbitrarily short time in the usual energy space.

LA - eng

KW - Hybrid system; weak solution; exact controllability; singular control; unique continuation.; exact boundary controllability; elastic beam; coupled system

UR - http://eudml.org/doc/197365

ER -

## References

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