M-Matrix-Based State Observer Design for Genetic Regulatory Networks With Mixed Delays

被引:5
|
作者
Tian, Li-Ping [1 ]
Palgat, Venkat [2 ]
Wu, Fang-Xiang [3 ,4 ]
机构
[1] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China
[2] Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK S7N 5A9, Canada
[3] Univ Saskatchewan, Div Biomed Engn, Saskatoon, SK S7N 5A9, Canada
[4] Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK S7N 5A9, Canada
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
M-matrix theory; state observer; genetic regulatory network with mixed delays; feasible set; TIME-VARYING DELAYS; INDEPENDENT STABILITY; ROBUST STABILITY; H-INFINITY;
D O I
10.1109/TCSII.2017.2751306
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Understanding genetic regulatory networks (GRNs) and designing a controller requires access to all the states of the system. However, not all the states of GRN can be experimentally measured in practice. Therefore, a state observer is necessary to estimate the unknown states from measured data. In this brief, we use M-matrix theory to design stable state observers for GRNs with mixed delays. Different from the linear matrix inequalities-based method, we formulate the state observer design as a feasible set problem which can be easily solved by some programming solvers with the optimization principle. The simulation results illustrate the effectiveness of our design approach.
引用
收藏
页码:1054 / 1058
页数:5
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