Summary
The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Ω ⊂ R 3. Let ΩT ⊂ 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 ΩT 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 ΩT.
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Belishev, M., Glasman, A. (2003). Boundary Control of the Maxwell Dynamical System: Lack of Controllability by Topological Reasons. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_28
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DOI: https://doi.org/10.1007/978-3-642-55856-6_28
Publisher Name: Springer, Berlin, Heidelberg
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