研究了布尔网络的稳定性及布尔控制网络的镇定问题.利用矩阵的半张量积方法以及逻辑的矩阵表达,将布尔网络表示成离散时间动态系统, 并转化成代数形式.对其代数形式的结构矩阵, 建立其与一个数字变换的一种一一对应关系,再利用数字变换的方法, 得出布尔网络以及布尔控制网络稳定的充要条件.

The stability of Boolean networks and stabilization of Boolean control networks are discussed. By using the method of semi-tensor product of matrices and
the matrix expression of logic, the dynamics of Boolean network can be represented as a discrete-time dynamic system, then it is converted into an algebraic form. Then the one-to-one correspondence between the structure matrix of the algebraic form ad a digital transformation is established. Finally, by using the method of digital trasformation, necessary and sufficient conditions for the stability and stabilization of Boolean networks are obtained.