On stability and stabilization of elastic systems by time-variant feedback
| dc.creator | Caiado, M. I. | |
| dc.creator | Sarychev, A. V. | |
| dc.date | 2005-07-06 | |
| dc.date.accessioned | 2026-07-07T05:21:27Z | |
| dc.date.available | 2026-07-07T05:21:27Z | |
| dc.description | 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. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507123 | |
| dc.identifier | http://arxiv.org/abs/math/0507123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75695 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 34E05; 34C29; 34D20 | |
| dc.title | On stability and stabilization of elastic systems by time-variant feedback | |
| dc.type | text |