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.

中文翻译：

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基于 Ledley 解法的奇异布尔控制网络的优化控制

本文研究了一类布尔控制网络的最优控制问题，称为奇异布尔控制网络（SBCN），它由两部分组成：差分方程和代数方程。通过构造Ledley解的真值矩阵，为SBNs（或SBCNs）的可解性提供了充要条件。然后提出了一种利用归一化布尔控制网络的可控性矩阵设计最优控制序列的有效算法。