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.
On asymptotic stabilization of elastic systems / I.CAIADO; A. SARYCHEV. - ELETTRONICO. - (2005), pp. 383-388. (Intervento presentato al convegno Physics and Control, Physcon 2005 tenutosi a St. Petersburg nel August 2005).
On asymptotic stabilization of elastic systems
SARYCHEV, ANDREY
2005
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.
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