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Issue No.07 - July (1976 vol.25)
pp: 678-683
K. Sugino , Department of Information Science, Faculty of Engineering, Nagoya University
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.
INDEX TERMS
Approximation, eigenvalue, linear space automaton, matrix, norm, probabilistic automaton, spectral radius, stability.
CITATION
K. Sugino, Y. Inagaki, T. Fukumura, "A Note on the Linear Space Automata Stability Problem", IEEE Transactions on Computers, vol.25, no. 7, pp. 678-683, July 1976, doi:10.1109/TC.1976.1674677
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