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An Approximation Method for Exact Controls of Vibrating Systems
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Journal Article
An Approximation Method for Exact Controls of Vibrating Systems
2011
Overview
We propose a new method for the approximation of exact controls of a second order infinite dimensional system with bounded input operator. The algorithm combines Russell's \"stabilizability implies controllability\" principle with the Galerkin method. The main new feature of this work consists of giving precise error estimates. In order to test the efficiency of the method, we consider two illustrative examples (with the finite element approximations of the wave and the beam equations) and describe the corresponding simulations. [PUBLICATION ABSTRACT]
Publisher
Society for Industrial and Applied Mathematics
Subject
/ Computer science; control theory; systems
/ Errors
/ Exact sciences and technology
/ Finite-element and galerkin methods
/ Fundamental areas of phenomenology (including applications)
/ Mathematical methods in physics
/ Modelling and identification
/ Physics
/ Structural and continuum mechanics
/ Studies
/ Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
