1999/08/17 by Kazuyoshi Mori, Mori, Kazuyoshi
Mathematics · #93A05 #93B50 #93C05 #93C35 #93D15 #Advanced Topics in Algebra #FOS: Mathematics #Optimization and Control (math.OC) #Rings, Modules, and Algebras #math.OC #msc:93A05 #msc:93B50 #msc:93C05 #msc:93C35 #msc:93D15
paper · pdf · doi:10.48550/arxiv.math/9908087
14 pages, 1 Postscript figure, LaTeX
openalex publication_date 1999/08/17 · arxiv created 1999/08/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a parameterization of the stabilizing controllers over commutative rings. In the classical case, that is, in the case where there exist the right-/left-coprime factorizations of the given plant, the stabilizing controllers can be parameterized by the method called ``Youla-Kucera-parameterization''. However, it is known that there exist models in which some stabilizable transfer matrices do not have their right-/left-coprime factorizations. In such models, we cannot employ the Youla-Kucera-parameterization directly. Our method of this paper can be applied to even such models.