In:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), Vol. 123, No. 2 ( 1993), p. 323-344
Abstract:
A simple model of a vibrating multidimensional structure made of a n -dimensional body and a one-dimensional straight string is introduced. In both regions ( n -dimensional body and a onedimensional string) the state is assumed to satisfy the wave equation. Simple boundary conditions are introduced at the junction. These conditions, in the absence of control, ensure conservation of the total energy of the system and imply some rigidity of the boundary of the n-d body on a neighbourhood of the junction. The exact boundary controllability of the system is proved by means of a Dirichlet control supported on a subset of the boundary of the n-d domain which excludes the junction region. Some extensions are discussed at the end of the paper.
Type of Medium:
Online Resource
ISSN:
0308-2105
,
1473-7124
DOI:
10.1017/S0308210500025713
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1993
detail.hit.zdb_id:
209230-X
detail.hit.zdb_id:
2036780-6
SSG:
11
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