Pointwise boundary stabilizability: two-dimensional hybrid elastic systems

Author

You, Yuncheng

Author_Institution

Sch. of Math., Minnesota Univ., Minneapolis, MN, USA

fYear

1989

fDate

13-15 Dec 1989

Firstpage

1448

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70385

Filename

70385