文献类型：期刊文献

英文题名：Controllability and optimal control of a temporal Boolean network

作者：Li, Fangfei[1,2];Sun, Jitao[1]

机构：[1]Tongji Univ, Dept Math, Shanghai 200092, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2012

卷号：34

起止页码：10

外文期刊名：NEURAL NETWORKS

收录：;EI(收录号：20123515386072);WOS:【SCI-EXPANDED(收录号:WOS:000308842300002)】；

基金：This work is supported by the National Natural Science Foundation of China under Grant 61174039, and by the Fundamental Research Funds for the Central Universities of China.

语种：英文

外文关键词：Temporal Boolean networks; Controllability; Optimal control; Semi-tensor product of matrices

摘要：This paper investigates the controllability and optimal control of a temporal Boolean network, where the time delays are time variant. First, using the theory of semi-tensor product of matrices, the logical systems can be converted into a discrete time variant system. Second, necessary and sufficient conditions for the controllability via two types of controls are provided respectively. Third, optimal control design algorithms are presented. Finally, examples are given to illustrate the proposed results. (C) 2012 Elsevier Ltd. All rights reserved.