布尔网络
和逆变器图
布尔函数
产品术语
可控性
布尔函数的电路极小化
布尔表达式
张量积
计算机科学
二元布尔代数
数学
产品(数学)
布尔电路
逻辑矩阵
理论计算机科学
离散数学
域代数上的
代数表示
纯数学
应用数学
群(周期表)
有机化学
化学
几何学
作者
Hongsheng Qi,Daizhan Cheng
摘要
A Boolean network is a logical dynamic system, which has been used to describe cellular networks. Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete time bilinear dynamic systems. Under these forms the standard matrix analysis can be used to consider the structure and the control problems of Boolean (control) networks. After the detailed description of this new approach, the controllability of Boolean control networks is considered in the paper as an application.
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