# Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons

Mikhail Belishev; Aleksandr Glasman

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

- Volume: 5, page 207-217
- ISSN: 1292-8119

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topBelishev, Mikhail, and Glasman, Aleksandr. "Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 207-217. <http://eudml.org/doc/197267>.

@article{Belishev2010,

abstract = {
The paper deals with a boundary control problem for the Maxwell dynamical
system in a bounbed domain
Ω ⊂ R3. Let ΩT ⊂ Ω be the subdomain
filled by waves at the moment T,
T* the moment at which the waves fill the whole
of Ω. The following effect occurs: for small enough
T the system is approximately controllable in ΩT whereas for
larger T < T* a lack of controllability is possible. The subspace of unreachable states
is of finite dimension determined by topological characteristics of ΩT.
},

author = {Belishev, Mikhail, Glasman, Aleksandr},

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

keywords = {Maxwell's dynamical system; boundary control; unreachable states;
topology of a domain.; topology of a domain},

language = {eng},

month = {3},

pages = {207-217},

publisher = {EDP Sciences},

title = {Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons},

url = {http://eudml.org/doc/197267},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Belishev, Mikhail

AU - Glasman, Aleksandr

TI - Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 5

SP - 207

EP - 217

AB -
The paper deals with a boundary control problem for the Maxwell dynamical
system in a bounbed domain
Ω ⊂ R3. Let ΩT ⊂ Ω be the subdomain
filled by waves at the moment T,
T* the moment at which the waves fill the whole
of Ω. The following effect occurs: for small enough
T the system is approximately controllable in ΩT whereas for
larger T < T* a lack of controllability is possible. The subspace of unreachable states
is of finite dimension determined by topological characteristics of ΩT.

LA - eng

KW - Maxwell's dynamical system; boundary control; unreachable states;
topology of a domain.; topology of a domain

UR - http://eudml.org/doc/197267

ER -

## References

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