Positive Observer Design for Positive Delayed Markovian Jump Systems
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The positive observer design problem is considered for a class of positive delayed Markovian jump systems (PDMJSs).
Firstly, a necessary and sufficient condition is established to check the positivity of delayed Markovian jump systems (DMJSs).
Then, necessary and sufficient conditions for PDMJSs being asymptotically mean stable are established to be independent of time delay.
Based on the proposed results, sufficient conditions for the existence of the desired positive observer gains including mode-independent case are provided.
Additionally, more general cases that transition rate matrix (TRM) is partially unknown or uncertain are considered, respectively.
Finally, a numerical example is used to demonstrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Wang, Guoliang. 2016. Positive Observer Design for Positive Delayed Markovian Jump Systems. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1103606
Modern Language Association (MLA)
Wang, Guoliang. Positive Observer Design for Positive Delayed Markovian Jump Systems. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1103606
American Medical Association (AMA)
Wang, Guoliang. Positive Observer Design for Positive Delayed Markovian Jump Systems. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1103606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103606