文献类型：期刊文献

英文题名：Controllability of higher order Boolean control networks

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：219

期号：1

起止页码：158

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20123115294663);WOS:【SCI-EXPANDED(收录号:WOS:000306748900016)】；

语种：英文

外文关键词：Higher order Boolean network; Controllability; Semi-tensor product of matrices; Input-state incidence matrix; Systems biology

摘要：Using the semi-tensor product method, this paper investigates the controllability of a mu th order Boolean control network. After a brief introduction on semi-tensor product of matrices to mu th order Boolean control networks, the controllability issue is studied. First, a systematic procedure to reconstruct the logical dynamic of a mu th order Boolean control network from its network transition matrix is presented for design purpose. Then, the controllability via two types of controls is considered. Necessary and sufficient conditions are provided for each case. The application of input-state incidence matrix to the controllability of mu th order Boolean control networks is studied. Finally, as an application, examples are given to illustrate the effectiveness of the obtained results. (c) 2012 Elsevier Inc. All rights reserved.