Boundary Control of the Maxwell Dynamical System: Lack of Controllability by Topological Reasons
The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Ω ⊂ R 3 . Let Ω T ⊂ Ω be a 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 Ω T whereas for large T < T * a lack of controllability is possible. The subspace of unreachable states is of finite dimension determined by topological characteristics of Ω T .
KeywordsRotation Body Approximate Controllability Maxwell System Boundary Control Problem Topological Reason
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