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部分变量能控性是一个特殊的能控性概念,它只考虑系统状态变量中一部分变量的能控性本文主要以布尔网络为代表,研究逻辑控制系统的部分变量能控性问题.利用矩阵的半张量积,逻辑控制系统被表示为离散时间仿射线性系统.从系统部分变量的结构矩阵出发,首先给出逻辑系统部分变量能控性的概念,然后通过构造部分变量能控性矩阵,得到布尔网络的部分变量能控的充要条件为部分变量能控性矩阵的各个元素都大于0,最后通过例子说明如何构造控制序列使部分变量状态能达.
The controllability of some variables is a special concept of controllability, which considers only the controllability of some variables in the system state variables. This paper mainly studies the controllability of some variables of logic control systems with Boolean network as an example. The semi-tensor product logic control system is represented as a discrete-time affine linear system. Starting from the structural matrix of some system variables, the concept of the controllability of some variables in the logic system is given first. Then by constructing some variables controllability matrix, The necessary and sufficient condition that the partial variables of Boolean network can be controlled is that all the elements of the control matrix of the partial variables are greater than 0. Finally, an example is given to illustrate how to construct a control sequence so that the state of some variables can be reached.