Semitensor Product Approach to Controllability, Reachability, and Stabilizability of Probabilistic Finite Automata
Joint Authors
Li, Haitao
Alsaadi, Fuad E.
Dou, Wenhui
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper proposes a matrix-based approach to investigate the controllability, reachability, and stabilizability of probabilistic finite automata (PFA).
Firstly, the state transition probabilistic structure matrix is constructed for PFA, based on which a kind of controllability matrix is defined for PFA.
Secondly, some necessary and sufficient conditions are presented for the controllability, reachability, and stabilizability of PFA with positive probability by using the controllability matrix.
Finally, an illustrate example is given to validate the obtained new results.
American Psychological Association (APA)
Dou, Wenhui& Li, Haitao& Alsaadi, Fuad E.. 2019. Semitensor Product Approach to Controllability, Reachability, and Stabilizability of Probabilistic Finite Automata. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1197296
Modern Language Association (MLA)
Dou, Wenhui…[et al.]. Semitensor Product Approach to Controllability, Reachability, and Stabilizability of Probabilistic Finite Automata. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1197296
American Medical Association (AMA)
Dou, Wenhui& Li, Haitao& Alsaadi, Fuad E.. Semitensor Product Approach to Controllability, Reachability, and Stabilizability of Probabilistic Finite Automata. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1197296
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197296