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 :
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