Title :
Pointwise boundary stabilizability: two-dimensional hybrid elastic systems
Author_Institution :
Sch. of Math., Minnesota Univ., Minneapolis, MN, USA
Abstract :
The 2D hybrid elastic structure of a rectangular membrane linked with two rib strings on the boundary sides that have rigid bodies and pointwise controllers attached at the corner points is modeled as an abstract hyperbolic evolution equation. By the analysis of energy decay and ω-limit sets with dissipative feedback, a necessary and sufficient condition for stabilizability in the energy space is proved. If this condition is satisfied, then stabilization is achieved by pointwise boundary damping feedback
Keywords :
boundary-value problems; distributed parameter systems; elasticity; large-scale systems; multidimensional systems; stability criteria; ω-limit sets; 2D hybrid elastic structure; 2D system; dissipative feedback; distributed parameter systems; elastic systems; energy decay; energy space; hyperbolic evolution equation; necessary and sufficient condition; pointwise boundary damping feedback; rectangular membrane; rib strings; rigid bodies; two-dimensional system; Biomembranes; Damping; Elasticity; Equations; Feedback; Force control; Gold; Mathematical model; Mathematics; Sufficient conditions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70385
