On the Relation between Phase-Type Distributions and Positive Systems
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The relation between phase-type representation and positive system realization in both the discrete and continuous time is discussed.
Using the Perron-Frobenius theorem of nonnegative matrix theory, a transformation from positive realization to phase-type realization is derived under the excitability condition.
In order to explain the connection, some useful properties and characteristics such as irreducibility, excitability, transparency, and order reduction for positive realization and phase-type representation are discussed.
In addition, the connection between the phase-type renewal process and the feedback positive system is discussed in the stabilization concept.
American Psychological Association (APA)
Kim, Kyungsup. 2015. On the Relation between Phase-Type Distributions and Positive Systems. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052103
Modern Language Association (MLA)
Kim, Kyungsup. On the Relation between Phase-Type Distributions and Positive Systems. Abstract and Applied Analysis No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1052103
American Medical Association (AMA)
Kim, Kyungsup. On the Relation between Phase-Type Distributions and Positive Systems. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052103