Analyzing the structure of a class of linear automata over a ring \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ Z_{p^k } $$\end{document}

被引：0

作者：

V. V. Skobelev

机构：

[1] National Academy of Sciences of Ukraine,Institute of Applied Mathematics and Mechanics

来源：

Cybernetics and Systems Analysis | 2008年 / 44卷 / 3期

关键词：

linear automaton; finite ring; state equivalence; parametric identification; initial state identification; fixed point; canonical form;

D O I：

10.1007/s10559-008-9003-2

中图分类号：

学科分类号：

摘要：

Basic finite-automaton characteristics are established for the class of all linear automata and information-lossless automata over a ring. The complexities of solving problems of parametric identification and initial-state identification are analyzed. The sets of fixed points for mappings realized by initial automata are characterized. Canonical forms are proposed for linear automata over the ring.

引用

页码：362 / 374

页数：12

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