文献类型：会议论文

英文题名：Reachability and Controllability of BCNs 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;

会议论文集：10th World Congress on Intelligent Control and Automation (WCICA)

会议日期：JUL 06-08, 2012

会议地点：Beijing, PEOPLES R CHINA

语种：英文

外文关键词：reachability; controllability; Boolean control network; nonnegative matrices; Perron-Frobenius theory

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 of BCNs are discussed. 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. The reachability and controllability discussed here are under certain constraint, where the trajectory of states are avoiding some undesirable states set. The definitions discussed in this paper have practical meaning.