NDLI: Can One Control the Vibrations of a Drum?

Content Provider	Springer Nature Link
Author	Shankar, Shiva
Copyright Year	2000
Abstract	This paper considers the problem of constructing feedback stabilizing controllers for the wave operator on $$\mathbb{R}$$ $^{n}$ (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 $$\mathbb{R}$$ $^{n}$.
Starting Page	67
Ending Page	81
Page Count	15
File Format	PDF
ISSN	09236082
Journal	Multidimensional Systems and Signal Processing
Volume Number	11
Issue Number	1-2
e-ISSN	15730824
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2000-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Artificial Intelligence (incl. Robotics) Electronic and Computer Engineering Signal, Image and Speech Processing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture

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Can One Control the Vibrations of a Drum?