Optimal control of singular boolean control networks via Ledley solution method
Optimal control of singular boolean control networks via Ledley solution method
复制标题
Ledley解法奇异布尔控制网络的最优控制
DOI：
10.1016/j.jfranklin.2021.06.006
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Peilian Guo
中科院分区：
文献类型：
--
作者：
Yuanhua Wang;Peilian Guo
研究了一类布尔控制网络的最优控制问题，称之为奇异布尔控制网络（SBCN）。SBCN由差分方程和代数方程两部分组成。通过构造Ledley解的真值矩阵，给出了SBN（或SBCN）可解的充要条件。然后给出了一种利用规范化布尔控制网络的能控性矩阵设计最优控制序列的有效算法。
This paper investigates the optimal control problem for a class of Boolean control networks, called singular Boolean control networks (SBCNs), which consist of two parts: difference equations and algebraic equations. By constructing the truth matrix of Ledley solution, necessary and sufficient conditions are provided for the solvability of SBNs (or SBCNs). Then an effective algorithm is presented to design an optimal control sequence by using the controllability matrix of normalized Boolean control networks.