控制理论与应用2013,Vol.30Issue(6):760-764,5.DOI:10.7641/CTA.2013.12137
布尔控制网络的能控性与能观性
Controllability and observability of Boolean control networks
摘要
Abstract
Using the semi-tensor product,we convert the Boolean control network to its algebraic form.From the structure 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 controllability condition eliminates the redundant computation of controllability matrix.The highest power of matrix is reduced from 2m+n to 2 n.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.关键词
布尔控制网络/能控性/能观性/矩阵半张量积Key words
Boolean control network/ controllability/ observability/ semi-tensor product分类
信息技术与安全科学引用本文复制引用
李志强,宋金利..布尔控制网络的能控性与能观性[J].控制理论与应用,2013,30(6):760-764,5.基金项目
This work is supported by the National Natural Science Foundation of China (Nos.61203050,61143002,61104065),and the Natural,Science Foundation of Educational Commission of Henan Province (Nos.2011B110002,12B110002). (Nos.61203050,61143002,61104065)