| 引用本文: | 苟志丽,徐勇,王金环.概率布尔控制网络的集可控[J].控制理论与应用,2021,38(5):689~696.[点击复制] |
| GOU Zhi-li,XU Yong,WANG Jin-huan.Set controllability of probabilistic Boolean control networks[J].Control Theory and Technology,2021,38(5):689~696.[点击复制] |
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| 概率布尔控制网络的集可控 |
| Set controllability of probabilistic Boolean control networks |
| 摘要点击 1869 全文点击 553 投稿时间：2020-07-16 修订日期：2020-11-13 |
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| DOI编号 10.7641/CTA.2020.00457 |
| 2021,38(5):689-696 |
| 中文关键词 概率布尔控制网络 集可控性 半张量积 |
| 英文关键词 probabilistic Boolean control networks set controllability semi-tensor product |
| 基金项目 河北省自然科学基金项目(F2018202075)资助. |
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| 中文摘要 |
| 本文研究概率布尔控制网络的集可控性问题. 首先, 利用矩阵半张量积方法, 得到概率布尔控制网络的代
数表示. 其次, 借助一个新的算子构造不同的可控矩阵, 进而通过可控矩阵考虑自由控制序列和网络输入控制下概
率布尔控制网络的集可控性问题, 得到了概率布尔控制网络集可控性的充要条件. 最后, 给出数值例子说明本文结
果的有效性. |
| 英文摘要 |
| In this paper, the set controllability of probabilistic Boolean control networks (PBCNs) is studied. Firstly, by
using semi-tensor product of matrices, the algebraic representation of PBCNs is obtained. Secondly, different controllable
matrices are constructed by means of a new operator, then the set controllability of PBCNs under free control sequence and
network input control can be considered with the help of the controllable matrices. The necessary and sufficient conditions
for set controllability of PBCNs are obtained. Finally, numerical examples are given to illustrate the effectiveness of the
results. |
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