| 引用本文: | 李志强,肖会敏.概率布尔控制网络的弱能控性[J].控制理论与应用,2016,33(1):32~39.[点击复制] |
| LI Zhi-qiang,XIAO Hui-min.Weak controllability of probabilistic Boolean control networks[J].Control Theory and Technology,2016,33(1):32~39.[点击复制] |
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| 概率布尔控制网络的弱能控性 |
| Weak controllability of probabilistic Boolean control networks |
| 摘要点击 3118 全文点击 1774 投稿时间：2015-06-25 修订日期：2015-08-25 |
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| DOI编号 10.7641/CTA.2016.50556 |
| 2016,33(1):32-39 |
| 中文关键词 半张量积 概率布尔控制网络 弱能达性 弱能控性 |
| 英文关键词 semi-tensor product probabilistic Boolean control network weak reachability, weak controllability. |
| 基金项目 国家自然科学基金项目(61203050, 61374079, 11202068), 河南省高等学校青年骨干教师计划项目(2013GGJS--099), 河南省基础与前沿技术研 究计划项目(132300410011), 河南省高等学校哲学社会科学研究“三重”重大项目(专项)(2014--SZZD--30)资助. |
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| 中文摘要 |
| 本文研究了概率布尔控制网络的弱能控性, 系统的弱能控性是概率布尔网络精确能控的一个推广. 首先利用矩
阵的半张量积和逻辑变量的向量表示, 概率布尔控制网络被表示为离散时间动态系统. 接着给出概率布尔控制网络弱能
控的定义, 从离散时间系统的结构矩阵出发, 构造了最大概率转移矩阵, 矩阵中的元素表示相应状态之间可能发生转移
的最大概率, 在此基础上研究了概率布尔控制网络的弱能控的条件, 同时给出了两个状态弱能达时控制序列的设计算
法. 最后通过例子进一步解释了弱能控的概念和控制序列设计算法的有效性. |
| 英文摘要 |
| The weak controllability of probabilistic Boolean control networks (PBCNs) is discussed in this paper. The
definition of weak controllability for PBCNs is introduced firstly. Using semi-tensor product and vectors expression of
logical values, PBCNs are expressed as a discrete time dynamic systems. Based on the structure matrix of PBCN, the
maximum probability transfer matrix is constructed, and element of the matrix denote the maximum probability with
which one state transferring to another one. Also the weak controllability matrix is constructed, and the necessary and
sufficient condition for weak controllability of PBCNs is obtained. At last, the algorithm is given to construct the control
sequence which forcing the initial state to the hoping one with probability !. A numerical example is presented to show
the applicability of our approach. |
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