Mathematics – Analysis of PDEs
Scientific paper
2005-07-06
Mathematics
Analysis of PDEs
17 pages
Scientific paper
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.
Caiado Isabel M.
Sarychev Andrey V.
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