Feedback classification of linear systems over von Neumann regular rings

Autor:	Saez-Schwedt, Andres, Schmale, Wiland
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems Mathematics - Commutative Algebra 93B25
Druh dokumentu:	Working Paper
Popis:	It is proved that feedback classification of a linear system over a commutative von Neumann regular ring R can be reduced to the classification of a finite family of systems, each of which is properly split into a reachable and a non-reachable part, where the reachable part is in a Brunovski-type canonical form, while the non-reachable part can only be altered by similarity. If a canonical form is known for similarity of matrices over R, then it can be used to construct a canonical form for feedback equivalence. An explicit algorithm is given to obtain the canonical form in a computable context together with an example over a finite ring. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.1018 Zobrazit plný text záznamu View this record from Arxiv