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

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Problem 7.2

A Hautus test for infinite-dimensional

systems

Birgit Jacob

Fachbereich Mathematik

Universität Dortmund

D-44221 Dortmund

Germany

birgit.jacob@math.uni-dortmund.de

Hans Zwart

Department of Applied Mathematics

University of Twente

P.O. Box 217, 7500 AE Enschede

The Netherlands

h.j.zwart@math.utwente.nl

1 DESCRIPTION OF THE PROBLEM

We consider the abstract system

-257639188

on a Hilbert space H. Here A is the infinitesimal generator of an exponentially stable C0-semigroup 16670 and by the solution of (1) we mean which is the weak solution. If C is a ...

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