DocumentCode
1558441
Title
Stabilization and controllability for the transmission wave equation
Author
Liu, Weijiu
Author_Institution
Dept. of Math. & Stat., Dalhousie Univ., Halifax, NS, Canada
Volume
46
Issue
12
fYear
2001
fDate
12/1/2001 12:00:00 AM
Firstpage
1900
Lastpage
1907
Abstract
We address the problem of control of the transmission wave equation. In particular, we consider the case where, due to total internal reflection of waves at the interface, the system may not be controlled from exterior boundaries. We show that such a system can be controlled by introducing both boundary control along the exterior boundary and distributed control near the transmission boundary and give a physical explanation why the additional control near the transmission boundary might be needed for some domains
Keywords
controllability; distributed control; distributed parameter systems; partial differential equations; stability; boundary control; controllability; distributed control; exterior boundaries; stabilization; total internal reflection; transmission boundary; transmission wave equation; Control systems; Controllability; Distributed control; Glass; Helium; Laplace equations; Mathematics; Optical refraction; Partial differential equations; Reflection;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.975473
Filename
975473
Link To Document