Pinning control design for feedback stabilization of constrained Boolean control networks

被引：10
|
作者：
Yang, Qiqi [1 ]
Li, Haitao [1 ]
Liu, Yansheng [1 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
Boolean control network; pinning control; feedback stabilization; constrained control; semitensor product of matrices; BIOLOGICAL REGULATORY NETWORKS; TENSOR PRODUCT METHOD; CONTROLLABILITY; OBSERVABILITY; STABILITY; DYNAMICS; GAMES;
D O I：
10.1186/s13662-016-0909-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the pinning control design for feedback stabilization of constrained Boolean control networks (BCNs) via the semitensor product of matrices. Firstly, a constrained algebraic representation is obtained for constrained BCNs with pinning control, and a necessary and sufficient condition is established for the reachability of constrained BCNs with pinning control. Secondly, a general procedure is proposed for the pinning control design of state feedback stabilization of constrained BCNs. Thirdly, a necessary and sufficient condition is presented for the output feedback stabilization of constrained BCNs with pinning control. Finally, two illustrative examples are worked out to demonstrate the effectiveness of the obtained new results.
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收藏
页数：16
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