H ∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
Joint Authors
Zhou, Xingming
Wang, Yantao
Zhang, Xian
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with the H∞ filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance.
The aim is to design H∞ filter to estimate the true concentrations of mRNAs and proteins based on available measurement data.
By introducing an appropriate Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs) which makes the filtering error system stochastically stable with a prescribed H∞ disturbance attenuation level.
The filter gains are given by solving the LMIs.
Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach; that is, our approach is available for a smaller H∞ disturbance attenuation level than one in (Liu et al., 2012).
American Psychological Association (APA)
Wang, Yantao& Zhou, Xingming& Zhang, Xian. 2014. H ∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033638
Modern Language Association (MLA)
Wang, Yantao…[et al.]. H ∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033638
American Medical Association (AMA)
Wang, Yantao& Zhou, Xingming& Zhang, Xian. H ∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033638