Positive l1 State-Bounding Observer Design for Positive Interval Markovian Jump Systems
Joint Authors
Zhang, Di
Lyu, Borong
Zhang, Qing-ling
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper studies the problem of positive l1 state-bounding observer design for a class of positive Markovian jump systems with interval parameter uncertainties by a linear programming approach.
For the first, necessary and sufficient conditions are obtained for stochastic stability and l1 performance of positive Markovian jump systems by an “equivalent” deterministic positive linear system.
Furthermore, based on the results obtained in this paper, sufficient conditions for the existence of the positive l1 state-bounding observer are derived.
The conditions can be solved in terms of linear programming.
Finally, a numerical example is used to illustrate the effectiveness of the results obtained.
American Psychological Association (APA)
Zhang, Di& Zhang, Qing-ling& Lyu, Borong. 2016. Positive l1 State-Bounding Observer Design for Positive Interval Markovian Jump Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111841
Modern Language Association (MLA)
Zhang, Di…[et al.]. Positive l1 State-Bounding Observer Design for Positive Interval Markovian Jump Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1111841
American Medical Association (AMA)
Zhang, Di& Zhang, Qing-ling& Lyu, Borong. Positive l1 State-Bounding Observer Design for Positive Interval Markovian Jump Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111841