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Boundary control of a vibrating plate with internal damping
Author(s) -
Leugering Günter,
Schmidt E. J. P. Georg,
Meister E.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110502
Subject(s) - controllability , mathematics , viscoelasticity , boundary (topology) , mathematical analysis , boundary value problem , type (biology) , physics , ecology , biology , thermodynamics
It is shown that finite energy states of a vibrating viscoelastic plate of the Kelvin–Voigt type are, in general, not exactly controllable by L 2 ‐boundary controls. Accordingly, we present a result on approximative controllability. The method is general.