State Estimation for Discrete Time-Delayed Genetic Regulatory Networks With Stochastic Noises Under the Round-Robin Protocols

2018 ◽  
Vol 17 (2) ◽  
pp. 145-154 ◽  
Author(s):  
Xiongbo Wan ◽  
Zidong Wang ◽  
Min Wu ◽  
Xiaohui Liu
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Regulatory Networks ◽  
Round Robin ◽  
Genetic Regulatory Networks ◽  
Stochastic Noises

Exponential state estimation for discrete-time switched genetic regulatory networks with random delays

2014 ◽  
Vol 92 (9) ◽  
pp. 976-986 ◽  
Author(s):  
K. Mathiyalagan ◽  
R. Sakthivel ◽  
Hongye Su
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Time Delays ◽  
Regulatory Networks ◽  
Estimation Error ◽  
Average Dwell Time ◽  
Genetic Regulatory Networks ◽  
Linear Matrix ◽  
State Estimator ◽  
Exponentially Stable

This paper is concerned with the problem of state estimator design for a class of discrete-time switched genetic regulatory networks (GRNs) with random time delays. The involved time delays are assumed to be randomly time-varying and are modeled by introducing Bernoulli distributed sequences. By using a piecewise Lyapunov–Krasovskii functional together with the linear matrix inequality (LMI) approach, we design a delay-distributed dependent state estimator such that the estimation error system is globally exponentially stable. Further, a class of switching signals specified by the average dwell time is identified to guarantee the exponential state estimation. All the conditions are established in the framework of LMIs, which can easily be solved by using standard numerical software. If a set of LMIs are feasible, then the desired state estimator can be obtained. Finally, a numerical example with simulation result is provided for the GRN model to illustrate the applicability and usefulness of the obtained theory.

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