Output Feedback Invariants
Optimization and Control
2007-05-23 v1 Commutative Algebra
Algebraic Geometry
Abstract
The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi-projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree , the product of number of inputs and number of outputs, then it is shown that in the closure of every feedback orbit there is exactly one nondegenerate system.
Cite
@article{arxiv.math/0012054,
title = {Output Feedback Invariants},
author = {M. S. Ravi and Joachim Rosenthal and Uwe Helmke},
journal= {arXiv preprint arXiv:math/0012054},
year = {2007}
}
Comments
15 pages