南京信息工程大学学报2017,Vol.9Issue(4):341-364,24.DOI:10.13878/j.cnki.jnuist.2017.04.001
矩阵半张量积方法在逻辑网络和相关系统中的应用综述
A survey on the applications of semi-tensor product of matrices on logical networks and other related systems
摘要
Abstract
This paper gives a survey on recent developments of logical networks and some related systems,including the background of logical networks,the theory of semi-tensor product (STP) of matrices,some fundamental works on logical networks,and some recent related works.In particular,some very recent interesting works for the past ten years are presented,concerning the topics of controllability,observability,stability and stabilization,synchronization,optimal control,disturbance decoupling,and so on.Since the method of STP has great potential in dealing with logical networks and some other related systems,a great attraction from domestic and oversea researchers has been paid on the study of STP and its applications.Some recent important research areas are also surveyed in this paper including pinning control,function perturbations,system decomposition,output tracking issues,symbolic dynamics,and so on.The main objective is to give a comprehensive introduction to the application of STP on logical networks and some other systems.关键词
矩阵半张量积/逻辑网络/布尔网络Key words
semi-tensor product (STP) of matrices/logical networks/Boolean network分类
信息技术与安全科学引用本文复制引用
卢剑权,李海涛,刘洋,李芳菲,曹进德..矩阵半张量积方法在逻辑网络和相关系统中的应用综述[J].南京信息工程大学学报,2017,9(4):341-364,24.基金项目
国家自然科学基金(61573102,11671361,61374065,61403139,61503225) (61573102,11671361,61374065,61403139,61503225)