2000/12/07 by M.S. Ravi, M. S. Ravi, Joachim Rosenthal +4
Computer Science · Mathematics · #14L30 #93B52 #93C35 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation #math.AC #math.AG #math.OC #msc:14L30 #msc:93B52 #msc:93C35
paper · pdf · doi:10.48550/arxiv.math/0012054
15 pages
arxiv created 2000/12/07 · openalex publication_date 2000/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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≥ 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.