文献类型：期刊文献

中文题名：布尔控制网络的能控性与能观性(英文)

英文题名：Controllability and observability of Boolean control networks

作者：李志强[1];宋金利[1]

第一作者：李志强

通讯作者：Li, Z.-Q.

机构：[1]河南财经政法大学数学与信息科学系

第一机构：河南财经政法大学数学与信息科学学院

年份：2013

期号：6

起止页码：760-764

中文期刊名：控制理论与应用

外文期刊名：Control Theory & Applications

收录：CSTPCD;;EI(收录号：20133416646606);Scopus(收录号：2-s2.0-84881569208);北大核心:【北大核心2011】；CSCD:【CSCD2013_2014】；

基金：supported by the National Natural Science Fouudation of China(Nos61203050,61143002,61104065);the Natural Science Foundation of Educational Commission of Henan Province(Nos2011B110002,12B 110002)

语种：中文

中文关键词：布尔控制网络;能控性;能观性;矩阵半张量积

外文关键词：Boolean control network; controllability; observability; semi-tensor product

摘要：利用矩阵的半张量积,布尔控制网络被转化为离散时间系统.本文从离散时间系统的结构矩阵出发,讨论了逻辑控制系统的能控能观性条件,得到了一个新的能控性条件.新的条件简化了原有能控性矩阵的计算复杂性,矩阵的最高阶数由原来的2^(m+n)降到了2~n.另外,还得到了检验布尔控制网络能观性的条件.与原有条件相比,新的条件更容易计算检验.最后.给出一个实例,检验给出的能控能观性判断条件的正确性.
Using the semi-tensor product, we convert the Boolean control network to its algebraic form. From the struc- ture matrix of Boolean control network, the controllability and observability of the Boolean control network are discussed. A novel necessary and sufficient condition for controllability, which improves the recent results, is given. The new control- lability condition eliminates the redundant computation of controllability matrix. The highest power of matrix is reduced from 2m＋n to 2n. Also, a sufficient condition for observability is obtained, which can be computed easily. A numerical example is presented to show the applicability of our controllability and observability condition.