SIAM Journal on Control and Optimization, Vol.41, No.4, 1166-1193, 2002
Stabilization of beams with nonlinear feedback
This paper studies nonlinear feedback stabilization of Euler Bernoulli beams subject to various pointwise and concentrated actuators. Strong, uniform, and nonuniform stabilization are obtained with explicit decay estimates in appropriate spaces. The results are obtained through the study of an abstract second order distributed system which encompasses the models under investigation.