Can one control the vibrations of a drum?
type: Item
instance of: scholarly article
title: Can one control the vibrations of a drum?
zbMATH Open document ID: 1023.93029
DOI: 10.1023/A:1008434613435
author: Shiva Shankar
published in: Multidimensional Systems and Signal Processing
publication date: 2003-11-02T00:00:00Z
review text: The problem of constructing feedback stabilizing controllers for the wave operator on \(\mathbb{R}^n\) (more generally AR systems determined by a hyperbolic operator) is under consideration. Toward this end, the notion of an input-output structure of a distributed system is clarified. A structure which generalizes the standard causal structure of lumped systems determined by the flow of time is used. On this base, feedback controllers that stabilize the wave equation along directions given by a proper cone in \(\mathbb{R}^n\) are constructed.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1488494
zbMATH Keywords: feedback stabilization
zbMATH Keywords: wave operator
zbMATH Keywords: input-output structure
reviewed by: Vyacheslav I. Maksimov
MaRDI profile type: Publication
full work available at URL: a:1008434613435
OpenAlex ID: W1891628327
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description: scientific article; zbMATH DE number 1488494