Design of Nonfragile State Estimator for Discrete-Time Genetic Regulatory Networks Subject to Randomly Occurring Uncertainties and Time-Varying Delays
Joint Authors
Zhao, Yanfeng
Chen, Dongyan
Shen, Ji-Hong
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-02
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We deal with the design problem of nonfragile state estimator for discrete-time genetic regulatory networks (GRNs) with time-varying delays and randomly occurring uncertainties.
In particular, the norm-bounded uncertainties enter into the GRNs in random ways in order to reflect the characteristic of the modelling errors, and the so-called randomly occurring uncertainties are characterized by certain mutually independent random variables obeying the Bernoulli distribution.
The focus of the paper is on developing a new nonfragile state estimation method to estimate the concentrations of the mRNA and the protein for considered uncertain delayed GRNs, where the randomly occurring estimator gain perturbations are allowed.
By constructing a Lyapunov-Krasovskii functional, a delay-dependent criterion is obtained in terms of linear matrix inequalities (LMIs) by properly using the discrete-time Wirtinger-based inequality and reciprocally convex combination approach as well as the free-weighting matrix method.
It is shown that the proposed method ensures that the estimation error dynamics is globally asymptotically stable and the desired estimator parameter is designed via the solutions to certain LMIs.
Finally, we provide two numerical examples to illustrate the feasibility and validity of the proposed estimation results.
American Psychological Association (APA)
Zhao, Yanfeng& Shen, Ji-Hong& Chen, Dongyan. 2017. Design of Nonfragile State Estimator for Discrete-Time Genetic Regulatory Networks Subject to Randomly Occurring Uncertainties and Time-Varying Delays. Complexity،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1142881
Modern Language Association (MLA)
Zhao, Yanfeng…[et al.]. Design of Nonfragile State Estimator for Discrete-Time Genetic Regulatory Networks Subject to Randomly Occurring Uncertainties and Time-Varying Delays. Complexity No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1142881
American Medical Association (AMA)
Zhao, Yanfeng& Shen, Ji-Hong& Chen, Dongyan. Design of Nonfragile State Estimator for Discrete-Time Genetic Regulatory Networks Subject to Randomly Occurring Uncertainties and Time-Varying Delays. Complexity. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1142881
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142881