Morgan's problem of Boolean control networks
Shihua FU
Yuanhua WANG
Daizhan CHENG
Jiangbo LIU
摘要：This paper investigates the Morgan's problem of Boolean control networks.Based on the matrix expression of logical functions,two key steps are proposed to solve the problem.First,the Boolean control network is converted into an outputdecomposed form by constructing a set of consistent output-friendly subspaces,and a necessary and sufficient condition for the existence of the consistent output-friendly subspaces is obtained.Secondly,a type of state feedback controllers are designed to solve the Morgan's problem if it is solvable.By solving a set of matrix equations,a necessary and sufficient condition for converting an output-decomposed form to an input-output decomposed form is given,and by verifying the output controllability matrix,the solvability of Morgan's problem is obtained.
机标关键词：sufficient conditionmatrix expressioncontrol networksstate feedbacktype of
资助基金：the National Natural Science Foundation of China (61333001)
论文发表日期：2017-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：11( 316-326 )
英文信息