Highly Influenced

@inproceedings{EremenkoNewCT, title={New counterexamples to pole placement by static output feedback}, author={A. Eremenko and Andrei Gabrielov} }

We consider linear systems with inner state of dimension n, with m inputs and p outputs, such that n = mp, min{m,p} = 2 and max{m,p} is even. We show that for each (m,n, p) satisfying these conditions, there is a non-empty open subset U of such systems, where the real pole placement map is not surjective. It follows that for systems in U , there exist open sets of pole configurations which cannot be assigned by any real output feedback.

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