# Simultaneous controllability in sharp time for two elastic strings

Sergei Avdonin; Marius Tucsnak

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

- Volume: 6, page 259-273
- ISSN: 1292-8119

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topAvdonin, Sergei, and Tucsnak, Marius. "Simultaneous controllability in sharp time for two elastic strings." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 259-273. <http://eudml.org/doc/197323>.

@article{Avdonin2010,

abstract = {
We study the simultaneously reachable subspace for two strings
controlled from a common endpoint. We give necessary
and sufficient conditions for simultaneous spectral and approximate
controllability. Moreover we prove the lack of simultaneous exact
controllability
and we study the space of simultaneously reachable states
as a function of the position of the joint. For each type of controllability
result we give the sharp controllability time.
},

author = {Avdonin, Sergei, Tucsnak, Marius},

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

keywords = {Exact controllability; spectral controllability;
approximate controllability;
simultaneous controllability; string equation; boundary control;
Riesz basis.; simultaneous controllability; Riesz basis; simultaneous reachable space},

language = {eng},

month = {3},

pages = {259-273},

publisher = {EDP Sciences},

title = {Simultaneous controllability in sharp time for two elastic strings},

url = {http://eudml.org/doc/197323},

volume = {6},

year = {2010},

}

TY - JOUR

AU - Avdonin, Sergei

AU - Tucsnak, Marius

TI - Simultaneous controllability in sharp time for two elastic strings

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 6

SP - 259

EP - 273

AB -
We study the simultaneously reachable subspace for two strings
controlled from a common endpoint. We give necessary
and sufficient conditions for simultaneous spectral and approximate
controllability. Moreover we prove the lack of simultaneous exact
controllability
and we study the space of simultaneously reachable states
as a function of the position of the joint. For each type of controllability
result we give the sharp controllability time.

LA - eng

KW - Exact controllability; spectral controllability;
approximate controllability;
simultaneous controllability; string equation; boundary control;
Riesz basis.; simultaneous controllability; Riesz basis; simultaneous reachable space

UR - http://eudml.org/doc/197323

ER -

## References

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