Boundary Control of the Maxwell Dynamical System: Lack of Controllability by Topological Reasons

  • M. Belishev
  • A. Glasman
Conference paper


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 .


Rotation Body Approximate Controllability Maxwell System Boundary Control Problem Topological Reason 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • M. Belishev
    • 1
  • A. Glasman
    • 2
  1. 1.Saint-Petersburg Department of the Steklov Mathematical InstituteUSA
  2. 2.Saint-Petersburg State UniversityUSA

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