Abstract
This paper examines the question of control of electromagnetic fields in a three-dimensional spherical region by means of control currents on the boundary of that region. The necessary theory of divergence-free solutions of the vector wave equation is developed. By use of eigenfunctions of the vector Laplacian in appropriate divergence-free domains and moment problem techniques, sufficient conditions for controllability are set forth.
Original language | English (US) |
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Pages (from-to) | 294-319 |
Number of pages | 26 |
Journal | SIAM Journal on Control and Optimization |
Volume | 28 |
Issue number | 2 |
DOIs | |
State | Published - 1990 |
Externally published | Yes |
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics