Disturbance Decoupling of Singular Boolean Control Networks

被引:45
作者
Liu, Yang [1 ,2 ]
Li, Bowen [1 ]
Lou, Jungang [3 ]
机构
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Huzhou Univ, Sch Informat Engn, Huzhou 313000, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
Singular Boolean control networks; STP; implicit function theorem; disturbance decoupling problem; function perturbation; CONTROLLABILITY; SYNCHRONIZATION; SYSTEMS; DECOMPOSITION; DYNAMICS; UPDATE;
D O I
10.1109/TCBB.2015.2509969
中图分类号
Q5 [生物化学];
学科分类号
070307 [化学生物学];
摘要
This paper investigates the controller designing for disturbance decoupling problem (DDP) of singular Boolean control networks (SBCNs). Using semi-tensor product (STP) of matrices and the Implicit Function Theorem, a SBCN is converted into the standard BCN. Based on the redundant variable separation technique, both state feedback and output feedback controllers are designed to solve the DDP of the SBCN. Sufficient conditions are also given to analyze the invariance of controllers concerning the DDP of the SBCN with function perturbation. Two illustrative examples are presented to support the effectiveness of these obtained results.
引用
收藏
页码:1194 / 1200
页数:7
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