概率布尔控制网络的集可控

Set controllability of probabilistic Boolean control networks

本文研究概率布尔控制网络的集可控性问题.首先,利用矩阵半张量积方法,得到概率布尔控制网络的代数表示.其次,借助一个新的算子构造不同的可控矩阵,进而通过可控矩阵考虑自由控制序列和网络输入控制下概率布尔控制网络的集可控性问题,得到了概率布尔控制网络集可控性的充要条件.最后,给出数值例子说明本文结果的有效性.

In this paper,the set controllability of probabilistic Boolean control networks(PBCNs)is studied.Firstly,by using semi-tensor product of matrices,the algebraic representation of PBCNs is obtained.Secondly,different controllable matrices are constructed by means of a new operator,then the set controllability of PBCNs under free control sequence and network input control can be considered with the help of the controllable matrices.The necessary and sufficient conditions for set controllability of PBCNs are obtained.Finally,numerical examples are given to illustrate the effectiveness of the results.