Output Feedback Invariants

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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 $n\geq mp$, 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.
15 pages

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Optimization and Control, Commutative Algebra, Algebraic Geometry, 93B52; 93C35; 14L30

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http://salesiana.dossiersoluciones.com/handle/123456789/60529

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012054
 http://arxiv.org/abs/math/0012054

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arXiv