Affiliation:
1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
2. Institute of Data Science and Technology, Shandong Normal University, Jinan 250014, China
Abstract
This paper investigates the controllability, reachability, and stabilizability of finite automata by using the semitensor product of matrices. Firstly, by expressing the states, inputs, and outputs as vector forms, an algebraic form is obtained for finite automata. Secondly, based on the algebraic form, a controllability matrix is constructed for finite automata. Thirdly, some necessary and sufficient conditions are presented for the controllability, reachability, and stabilizability of finite automata by using the controllability matrix. Finally, an illustrative example is given to support the obtained new results.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics
Cited by
4 articles.
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