文献类型：期刊文献

英文题名：Survey on semi-tensor product method with its applications in logical networks and other finite-valued systems

作者：Lu, Jianquan[1];Li, Haitao[2];Liu, Yang[1,3];Li, Fangfei[4]

机构：[1]Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China;[2]Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China;[3]Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China;[4]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2017

卷号：11

期号：13

起止页码：2040

外文期刊名：IET CONTROL THEORY AND APPLICATIONS

收录：;EI(收录号：20173404062290);WOS:【SCI-EXPANDED(收录号:WOS:000407798500002)】；

基金：This work was partially supported by the National Natural Science Foundation of China under grant nos 61573102, 11671361, 61374065, 61403139 and 61503225, the China postdoctoral Science Foundation under grant nos 2014M560377, 2015T80483, 2016T90406 and 2015M580378, Jiangsu Province Six Talent Peaks Project under grant no. 2015-ZNDW-002, Natural Science Foundation of Shandong Province under grant no. ZR2015FQ003, Natural Science Fund for Distinguished Young Scholars of Shandong Province under grant no. JQ201613, Zhejiang Provincial Natural Science Foundation of China under grant no. LY14A010008.

语种：英文

外文关键词：tensors; matrix algebra; discrete time systems; nonlinear control systems; semi-tensor product method; logical networks; finite-valued systems; STP; matrix product; controllability; stabilisation; synchronisation; disturbance decoupling; discrete-time nonlinear systems

摘要：This study presents a detailed survey on recent development of logical networks and its applications, including the background of logical networks, the theory of a new matrix product called semi-tensor product (STP) of matrices, some fundamental works on logical networks, and some current research works. Particularly, some fundamental works on logical networks are presented for the past years, including controllability, stability and stabilisation, synchronisation, disturbance decoupling and so on. Due to the great potential of STP in dealing with logical networks, a surge of attraction from overseas is paid on the study of STP and its applications. Currently, some new research areas are widely studied including pinning control, function perturbations, system decomposition, trajectory control, output tracking issues, symbolic dynamics and so on. The main concern of this study is to present a comprehensive introduction to logical networks and some other applications under the framework of STP of matrices.