On stability and stabilization of elastic systems by time-variant feedback
Analysis of PDEs
2007-05-23 v1
Abstract
We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for stabilization and asymptotic stabilization by applying a fast oscillating control to the string. In the first situation studied we assume that system is subject to a damping force; next we consider the system without damping. We extend the tools of high-order averaging and of chronological calculus for studying stability of this distributed parameter system.
Cite
@article{arxiv.math/0507123,
title = {On stability and stabilization of elastic systems by time-variant feedback},
author = {M. I. Caiado and A. V. Sarychev},
journal= {arXiv preprint arXiv:math/0507123},
year = {2007}
}
Comments
17 pages