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