文献类型：期刊文献

中文题名：Controllability of Boolean control networks avoiding states set

英文题名：Controllability of Boolean control networks avoiding states set

作者：Li ZhiQiang[1];Song JinLi[1]

第一作者：李志强

通讯作者：Li, ZQ[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2014

卷号：57

期号：3

起止页码：1-13

中文期刊名：中国科学：信息科学（英文版）

外文期刊名：SCIENCE CHINA-INFORMATION SCIENCES

收录：;EI(收录号：20141117465624);Scopus(收录号：2-s2.0-84897757895);WOS:【SCI-EXPANDED(收录号:WOS:000332351000021)】；

基金：This work was supported by National Natural Science Foundation of China (Grant Nos. 61203050, 61143002, 61104065, 61074114), Natural Science Foundation of Educational Commission of Henan Province (Grant Nos. 2011B110002, 12B110002).

语种：英文

中文关键词：控制网络;可控性;设置;离散时间系统;状态变量;充分必要条件;可达性;向量形式

外文关键词：reachability; controllability; Boolean control network; nonnegative matrices

摘要：In this paper,using semi-tensor product and the vector form of Boolean logical variables,the Boolean control network(BCN)is expressed as a bilinear discrete time system about state and control variables.Based on the algebraic form,the reachability and controllability avoiding undesirable states set are discussed.The reachability and controllability discussed here are under certain constraint and the definitions of reachability and controllability avoiding undesirable states set have practical meaning.Also,the necessary and sufcient conditions for reachability and controllability are given.At last,the control sequence that steers one state to another is constructed.
In this paper, using semi-tensor product and the vector form of Boolean logical variables, the Boolean control network (BCN) is expressed as a bilinear discrete time system about state and control variables. Based on the algebraic form, the reachability and controllability avoiding undesirable states set are discussed. The reachability and controllability discussed here are under certain constraint and the definitions of reachability and controllability avoiding undesirable states set have practical meaning. Also, the necessary and sufficient conditions for reachability and controllability are given. At last, the control sequence that steers one state to another is constructed.