Set-values filtering for discrete time-delay genetic regulatory networks with time-varying parameters

被引：33

作者：

Zhang, Dan ^{[1
,3
]}

Song, Haiyu ^{[1
]}

Yu, Li ^{[1
]}

Wang, Qing-Guo ^{[2
]}

Ong, Chongjin ^{[3
]}

机构：

[1] Zhejiang Univ Technol, Dept Automat, Hangzhou 310032, Zhejiang, Peoples R China

[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore

[3] Natl Univ Singapore, Dept Mech Engn, Singapore 119260, Singapore

来源：

NONLINEAR DYNAMICS | 2012年 / 69卷 / 1-2期

关键词：

Discrete time-varying genetic regulatory networks; Set-values filtering; Time-delay; Recursive linear matrix inequality; ROBUST STATE ESTIMATION; STABILITY; SYSTEMS; MODELS;

D O I：

10.1007/s11071-011-0297-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We propose a new discrete-time model for genetic regulatory networks (GRNs) in this paper. The new model includes time-varying degradation rates, translation rates of mRNA, and protein as well as time-delay and bounded external noise, which better approximates the practical GRNs. The aim is to estimate the concentrations of mRNA and protein in the proposed model. Due to the unknown external noise and time-varying parameters in this model, the set-values filtering is adopted. The so-called set-values filtering problem is to find an upper bound for the quadratic estimation error of the filtering dynamics and minimize this bound at each time step provided that the external noise is bounded. A recursive linear matrix inequality (RLMI) based optimization approach is developed to compute the filter gains. The effectiveness of the design method is illustrated via two numerical examples.

引用

页码：693 / 703

页数：11

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