Output reachability analysis and output regulation control design of Boolean control networks  

作　　者：Haitao LI Yuzhen WANG Peilian GUO 

机构地区：[1]School of Mathematical Science, Shandong Normal University [2]School of Control Science and Engineering, Shandong University

出　　处：《Science China(Information Sciences)》2017年第2期14-25,共12页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 61374065, 61503225);Natural Science Foundation of Shandong Province (Grant No. ZR2015FQ003);Research Fund for the Taishan Scholar Project of Shandong Province

摘　　要：This paper investigates the output reachability and output regulation control design of Boolean control networks（BCNs） by using the semi-tensor product method, and presents a number of new results.First, the concept of output reachability is proposed for BCNs, and some necessary and sufficient conditions are presented for the verification of output reachability. Second, based on the output reachability of BCNs and the attractor set of the reference Boolean network, an effective method is proposed for the control design of the output regulation problem. The study of an illustrative example shows the effectiveness of the obtained new results.This paper investigates the output reachability and output regulation control design of Boolean control networks（BCNs） by using the semi-tensor product method, and presents a number of new results.First, the concept of output reachability is proposed for BCNs, and some necessary and sufficient conditions are presented for the verification of output reachability. Second, based on the output reachability of BCNs and the attractor set of the reference Boolean network, an effective method is proposed for the control design of the output regulation problem. The study of an illustrative example shows the effectiveness of the obtained new results.

关 键 词：Boolean control network output reachability output regulation control design semi-tensor product of matrices 

分 类 号：O231[理学—运筹学与控制论]