标题：Comparison of Topological Structures between Boolean Control Networks and Nominal Boolean Networks
作者：Cui, Xingbang ;Feng, Jun-E ;Wang, Sen ;Yu, Yongyuan
作者机构：[Cui, Xingbang ;Feng, Jun-E ;Wang, Sen ;Yu, Yongyuan ] School of Mathematics, Shandong University, Jinan; 250100, China
会议名称：37th Chinese Control Conference, CCC 2018
会议日期：25 July 2018 through 27 July 2018
来源：Chinese Control Conference, CCC
关键词：Attractor basin; Nominal Boolean network; Topological structure; Transient period
摘要：In this paper, comparison of topological structures between Boolean control networks and nominal Boolean networks is investigated. First, transient periods and attractor basins of Boolean control networks are introduced, and three necessary and sufficient conditions are derived in order to determine transient periods and attractor basins. From two aspects of attractors and transient periods, topological structures of Boolean control networks and nominal Boolean networks are compared, and the existences of different relations are illustrated via some examples. Finally, four necessary and sufficient conditions are proposed for judging relations of topological structures between Boolean control networks and nominal Boolean networks. © 2018 Technical Committee on Control Theory, Chinese Association of Automation.