H∞ filtering for discrete-time genetic regulatory networks with random delays.
The H(∞) filtering problem is investigated in this paper for a class of discrete-time genetic regulatory networks (GRNs) with random delays. The addressed filtering problem is to estimate the concentrations of mRNA and protein, and the filtering error system is modeled as a Markovian switched system. By using a properly constructed Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs), which can guarantee stochastic stabilization of the filtering error system. Then, an optimization problem with LMIs constraints is established to design an H(∞) filter which ensures an optimal H(∞) disturbance attenuation level. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.
Department of Automation, Zhejiang University of Technology, Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, PR China.
Andong
A
Liu
Li
L
Yu
Wen-an
WA
Zhang
Bo
B
Chen
D003198:Computer Simulation; D004926:Escherichia coli / Q000235:genetics; D053263:Gene Regulatory Networks; D008390:Markov Chains; D008957:Models, Genetic; D015233:Models, Statistical