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Can one control the vibrations of a drum?

DSpace at IIT Bombay

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Field Value
 
Title Can one control the vibrations of a drum?
 
Creator SHANKAR, S
 
Subject systems
hyperbolic equations
feedback stability
causality
input-output structure
 
Description This paper considers the problem of constructing feedback stabilizing controllers for the wave operator on R-n (more generally AR systems determined by a hyperbolic operator). In order to accomplish this, it must first clarify the notion of an input-output structure on a distributed system, as well as what it means to interconnect two such systems. Both these notions are shown to be consequences of a structure which generalizes the standard causal structure of lumped systems determined by the flow of time. Given this apparatus, the paper then constructs feedback controllers which stabilize the wave equation along directions given by a proper cone in R-n.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T03:53:22Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
2011-08-17T03:53:22Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
2000
 
Type Article
 
Identifier MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 11(1-2), 67-81
0923-6082
http://dx.doi.org/10.1023/A:1008434613435
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9733
http://hdl.handle.net/10054/9733
 
Language en