DocumentCode
1046101
Title
Dynamical boundary control of two-dimensional wave equations: vibrating membrane on general domain
Author
You, Y.C. ; Lee, E.B.
Author_Institution
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Volume
34
Issue
11
fYear
1989
fDate
11/1/1989 12:00:00 AM
Firstpage
1181
Lastpage
1185
Abstract
Dynamical boundary control of a vibrating membrane with edge mass and of general shape is mathematically formulated as an abstract evolutionary system. The approximate controllability and the strong stabilization by linear boundary damping feedback are established by an approach based on LaSalle´s invariance principle. The mathematical model and the reduced system can be used to investigate some optimization problems
Keywords
controllability; feedback; invariance; stability; 2D wave equations; LaSalle´s invariance principle; abstract evolutionary system; controllability; dynamical boundary control; linear boundary damping feedback; stability; vibrating membrane; Biomembranes; Control systems; Controllability; Damping; Force control; Gold; Linear feedback control systems; Partial differential equations; Shape control; Weight control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.40748
Filename
40748
Link To Document