Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom