Abstract:
The observability problem for the elastic vibrations of a system consisting of sequentially connected objects with distributed parameters is solved. An object with lumped parameters is connected to the system. The initial state of the system is recovered from observations on its boundary and at the connection point of the objects with distributed and lumped parameters.
Key words:
system with distributed and lumped parameters, wave equation, observability of elastic vibrations.
Citation:
A. I. Egorov, L. N. Znamenskaya, “Boundary observability of elastic vibrations in a system of sequentially connected strings”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012), 1614–1620; Comput. Math. Math. Phys., 52:9 (2012), 1233–1238