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
fDate :
7/1/1976 12:00:00 AM
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.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1976.1674677
