Some Remarks on Real and Complex Output Feedback
Optimization and Control
2016-09-07 v1 Algebraic Geometry
Abstract
We provide some new necessary and sufficient conditions which guarantee arbitrary pole placement of a particular linear system over the complex numbers. We exhibit a non-trivial real linear system which is not controllable by real static output feedback and discuss a conjecture from algebraic geometry concerning the existence of real linear systems for which all static feedback laws are real.
Cite
@article{arxiv.math/9702218,
title = {Some Remarks on Real and Complex Output Feedback},
author = {Joachim Rosenthal and Frank Sottile},
journal= {arXiv preprint arXiv:math/9702218},
year = {2016}
}