State Observer Design of Coupled Genetic Regulatory Networks with Reaction-Diffusion Terms via Time-Space Sampled-Data Communications

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.

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Sampled-Data State Estimation of Reaction Diffusion Genetic Regulatory Networks via Space-Dividing Approaches

IEEE/ACM Transactions on Computational Biology and Bioinformatics ◽

10.1109/tcbb.2019.2919532 ◽

2019 ◽

pp. 1-1 ◽

Cited By ~ 1

Author(s):

Xiaona Song ◽

Mi Wang ◽

Shuai Song ◽

Choon Ki Ahn

Keyword(s):

State Estimation ◽

Regulatory Networks ◽

Reaction Diffusion ◽

Genetic Regulatory Networks ◽

Sampled Data

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State Observer Design for Delayed Genetic Regulatory Networks

Computational and Mathematical Methods in Medicine ◽

10.1155/2014/761562 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 6

Author(s):

Li-Ping Tian ◽

Zhi-Jun Wang ◽

Amin Mohammadbagheri ◽

Fang-Xiang Wu

Keyword(s):

Regulatory Network ◽

Regulatory Networks ◽

Estimation Error ◽

State Observer ◽

Genetic Regulatory Networks ◽

Genetic Regulatory Network ◽

Observer Design ◽

Linear Matrix ◽

Globally Asymptotically Stable ◽

Internal States

Genetic regulatory networks are dynamic systems which describe the interactions among gene products (mRNAs and proteins). The internal states of a genetic regulatory network consist of the concentrations of mRNA and proteins involved in it, which are very helpful in understanding its dynamic behaviors. However, because of some limitations such as experiment techniques, not all internal states of genetic regulatory network can be effectively measured. Therefore it becomes an important issue to estimate the unmeasured states via the available measurements. In this study, we design a state observer to estimate the states of genetic regulatory networks with time delays from available measurements. Furthermore, based on linear matrix inequality (LMI) approach, a criterion is established to guarantee that the dynamic of estimation error is globally asymptotically stable. A gene repressillatory network is employed to illustrate the effectiveness of our design approach.

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