Time-variant Feedback Stabilization of Constrained Delayed Boolean Networks Under Nonuniform Sampled-data Control

被引：0
|
作者：
Xiangshan Kong
Haitao Li
机构：
[1] Shandong Normal University,School of Mathematics and Statistics
来源：
International Journal of Control, Automation and Systems | 2021年 / 19卷
关键词：
Boolean network; sampled-data control; semi-tensor product of matrices; stabilization; time delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.
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页码：1819 / 1827
页数：8
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