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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 5.4

Is the conservative wave

equation regular?

George Weiss

Dept. of Electrical and Electronic Engineering

Imperial College London

Exhibition Road

London SW7 2BT

UK

G.Weiss@imperial.ac.uk

1 DESCRIPTION OF THE PROBLEM

We consider an infinite-dimensional system described by the wave equation on an n–dimensional domain, with mixed boundary control and mixed boundary observation, which has been analyzed (as an example for a certain class of conservative linear systems) in [13]. A somewhat simpler version of this system has appeared (also as an example) in the paper [11, section 7] and a related system has been discussed in [5].

-1743744670

BIBLIOGRAPHY ...

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