An r-Order Finite-Time State Observer for Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays
Joint Authors
Wu, Ligang
Fan, Xiaofei
Wang, Yantao
Zhang, Xian
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
It will be settled out for the open problem of designing an r-order finite-time (F-T) state observer for reaction-diffusion genetic regulatory networks (RDGRNs) with time-varying delays.
By assuming the Dirichlet boundary conditions, aiming to estimate the mRNA and protein concentrations via available network measurements.
Firstly, sufficient F-T stability conditions for the filtering error system have been investigated via constructing an appropriate Lyapunov–Krasovskii functional (LKF) and using several integral inequalities and (reciprocally) convex technique simultaneously.
These conditions are delay-dependent and reaction-diffusion-dependent and can be checked by MATLAB toolbox.
Furthermore, a method is proposed to design an r-order F-T state observer, and the explicit expressions of observer gains are given.
Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Fan, Xiaofei& Wang, Yantao& Wu, Ligang& Zhang, Xian. 2018. An r-Order Finite-Time State Observer for Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays. Complexity،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1135700
Modern Language Association (MLA)
Fan, Xiaofei…[et al.]. An r-Order Finite-Time State Observer for Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays. Complexity No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1135700
American Medical Association (AMA)
Fan, Xiaofei& Wang, Yantao& Wu, Ligang& Zhang, Xian. An r-Order Finite-Time State Observer for Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays. Complexity. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1135700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135700