Title :
On asymptotic stabilization of elastic systems
Author :
Caiado, M. Isabel ; Sarychev, Andrey
Author_Institution :
Cento de Matematica, Univ. do Minho, Braga, Portugal
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 and damping. The main goal is to establish conditions for asymptotic stabilization by applying a fast oscillating control to the string. We extend the tools of high-order averaging and of chronological calculus for studying asymptotic stability of the distributed parameter system.
Keywords :
asymptotic stability; damping; distributed parameter systems; elasticity; partial differential equations; vibration control; vibrations; asymptotic stabilization; chronological calculus; damping; distributed parameter system; elastic system; high-order averaging technique; linear disturbance; oscillating control; partial differential equation; vibrating string; Asymptotic stability; Bellows; Boundary conditions; Calculus; Damping; Distributed parameter systems; Feedback control; Hilbert space; Partial differential equations; Telephony;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514012
