标题：Optimal Control Problem of Boolean Control Networks: A Graph-theoretical Approach
作者：Cui, Xingbang ;Feng, Jun-E. ;Wang, Sen
作者机构：[Cui, Xingbang ;Feng, Jun-E. ;Wang, Sen ] School of Mathematics, Shandong University, Jinan; 250100, China
会议名称：30th Chinese Control and Decision Conference, CCDC 2018
会议日期：9 June 2018 through 11 June 2018
来源：Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
关键词：Boolean control network; Dijkstra's algorithm; Optimal control; Shortest path problem
摘要：Two kinds of optimal control problems of Boolean control networks are investigated in this paper. For these two optimal control problems, existences of optimal control sequences are proved firstly. To find the optimal control sequences, weighted directed graphs are built. Then graph-theoretical approaches are proposed based on the Dijkstra's algorithm for the shortest path problem. Finally, an example is given to show the feasibility of the proposed approaches. © 2018 IEEE.