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arXiv 1407.2104math.OC
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布尔控制网络的输出分解

Decomposition with respect to outputs for Boolean control networks

Yunlei Zou, Jiandong Zhu

摘要:

本文研究了布尔控制网络(BCN)的输出分解问题。首先,利用BCN的线性表示和矩阵半张量积,得到了BCN分解的代数等价条件。其次,给出了输出分解的一个充分必要的图解条件。第三,提出了一种有效的方法,以减少在实现的分解的计算负担。最后通过算例验证了该方法的有效性。

英文摘要:

This paper investigates the problem of decomposition with respect to outputs for Boolean control networks (BCNs). First, with the linear expression of BCNs and the matrix semi-tensor product, some algebraic equivalent conditions for the decomposition are obtained. Second, a necessary and sufficient graphical condition for the decomposition with respect to outputs is given. Third, an effective method is proposed to reduce the computational burden in the realization of the decomposition. Finally, some examples are addressed to validate the effectiveness of the proposed method.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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