Technology reports of the Yamaguchi University

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Technology reports of the Yamaguchi University Volume 3 Issue 1
published_at 1982-12

The decomposition of stochastic systems

The decomposition of stochastic systems
Kanaoka Taiho
Tomita Shingo
fulltext
545 KB
KJ00004351036.pdf
Descriptions
This paper proposes a method to decompose any n-state stochastic system into m r-state component stochastic systems. The basic tool in our method is a partition with substitution property which exists on the set of states of the interconnected stochastic system. Using our method it is mainly shown that there exists a relationship among n, m and r, and for one outer input, some specific number of transition matrices are assigned to each component.