Title :
Stability of the Kirkhoff plate with nonlinear dissipative feedback acting as a bending moment
Author_Institution :
Dept. of Appl. Math., Virginia Univ., Charlottesville, VA, USA
Abstract :
The author considers the Kirkhoff plate model defined on a bounded domain Ω in R2 with nonlinear dissipation occurring in the bending moment acting on the boundary Γ. Specifically, an analysis is made of the asymptotic stability of the solutions to the classical equation of a thin, isotropic, homogeneous plate with nonlinear dissipation occurring on a portion of the edge of the plate. Under certain geometric conditions imposed on Ω, the author proves that the solutions decay to zero, when t→∞, in the natural energy norm
Keywords :
bending; distributed parameter systems; feedback; stability; Kirkhoff plate model; asymptotic stability; bending moment; geometric conditions; nonlinear dissipative feedback; Asymptotic stability; Boundary conditions; Feedback; Gold; H infinity control; Mathematical model; Mathematics; Nonlinear equations; Solid modeling; Topology;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194330
