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布尔控制网络的能控性与能观性

李志强 宋金利

控制理论与应用2013,Vol.30Issue(6):760-764,5.
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

李志强 1宋金利1

作者信息

  • 1. 河南财经政法大学数学与信息科学系,河南郑州 450002
  • 折叠

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)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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