Pinning control design for feedback stabilization of constrained Boolean control networks

Advances in Difference Equations

Haitao Li¹  Qiqi Yang¹  Yansheng Liu¹ 

[1] School of Mathematical Science, Shandong Normal University, Jinan, P.R. China

关键词: Boolean control network;    pinning control;    feedback stabilization;    constrained control;    semitensor product of matrices;    93C55;    93B52;   

DOI  :  10.1186/s13662-016-0909-0

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY