DocumentCode
1132977
Title
A Note on the Linear Space Automata Stability Problem
Author
Sugino, Kazue ; Inagaki, Yasuyoshi ; Fukumura, Teruo
Author_Institution
Department of Information Science, Faculty of Engineering, Nagoya University
Issue
7
fYear
1976
fDate
7/1/1976 12:00:00 AM
Firstpage
678
Lastpage
683
Abstract
Paz et al. [1] have revealed the necessary and sufficient conditions for a linear automaton to be strongly approximable. In this paper, we extend their theory to a linear space automaton [2], i.e., a linear system with more than one linear mapping, to obtain a necessary and sufficient condition that it is strongly stable.
Keywords
Approximation, eigenvalue, linear space automaton, matrix, norm, probabilistic automaton, spectral radius, stability.; Automata; Eigenvalues and eigenfunctions; Information science; Linear approximation; Linear systems; Stability; Stochastic processes; Sufficient conditions; Vectors; Approximation, eigenvalue, linear space automaton, matrix, norm, probabilistic automaton, spectral radius, stability.;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/TC.1976.1674677
Filename
1674677
Link To Document