Simultaneous Stabilization of Boolean Control Networks via Semi-tensor Product Method
The simultaneous stabilization of a collection of Boolean control networks (BCN)is investigated in this paper,and several controllers are designed.The dynamics of each BCN is converted to a discrete-time bilinear system by using the semi-tensor product of matrices and matrix expression of logical functions,based on which the simultaneous stabilization of the collection of BCNs is then studied.Main results contain two parts:(i)two suf cient conditions and two necessary and suf cient conditions are obtained for the simultaneous stabilization of a group of neat BCNs by feedback control,including state feedback and output feedback,and (Ⅱ)for non-neat BCNs,by introducing some auxiliary state and output variables,the group of BCNs are converted into the neat ones,and then several suf cient conditions and necessary and suf cient conditions are established for the simultaneous stabilization.
LI Haitao WANG Yuzhen WANG Yuzhen
School of Control Science and Engineering,Shandong University,Jinan,250061,P.R.China School of Control Science and Engineering,Shandong University,Jinan,250061,P.R.China School of Scien
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）