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
fDate :
11/1/1989 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
