Some Remarks on Real and Complex Output Feedback

Details Some Remarks on Real and Complex Output Feedback Some Remarks on Real and Complex Output Feedback

1997-02-03

arxiv.org/abs/math/9702218v1

Systems & Control Lett., 33 (1998) pp. 73-80.

Mathematics

Optimization and Control

Scientific paper

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.

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