Pinning control design for feedback stabilization of constrained Boolean control networks

作者：Yang, Qiqi; Li, Haitao^*; Liu, Yansheng

来源：Advances in Difference Equations, 2016, 2016(1): 182.

DOI：10.1186/s13662-016-0909-0

• Boolean control network
• pinning control
• feedback stabilization
• constrained control
• semitensor product of matrices

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.

• 出版日期2016-7-7
• 单位山东师范大学