Observability of Periodically Switched Boolean Control Networks  

作　　者：JIANG Chunfeng WANG Biao FU Shihua ZHAO Jianli SUN Min 

机构地区：[1]Department of Engineering,University of Sannio,Benevento 82100,Italy.Email:chunf [e-mail] [2]School of Management,Shandong University,Jinan 250100,China [3]School of Mathematical Sciences,Liaocheng University,Liaocheng 252000,China [4]School of Mathematics and Statistics,Zaozhuang University,Zaozhuang 277160,China

出　　处：《Journal of Systems Science & Complexity》2023年第3期985-1001,共17页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12101366, 62103176 and 72134004;the Natural Science Foundation of Shandong Province under Grant Nos. ZR2020QF117 and ZR2019BF023

摘　　要：In this paper,observability is studied for periodically switched Boolean control networks(PSBCNs),which are managed with periodic switching signal and consist of some Boolean control networks.Firstly,via semi-tensor product of matrices,PSBCNs are expressed as algebraic forms.Secondly,a parallel system is constructed by combining two same PSBCNs,based on which,the observability problem of the original PSBCN can be transformed into the set reachability problem of this parallel system.Then,two necessary and sufficient conditions are obtained to detect reachability of parallel systems and observability of PSBCNs.In addition,the proposed conditions are extended to the case of state constraints.Finally,a practical example and a numerical example are provided to illustrate the results.

关 键 词：Boolean control networks OBSERVABILITY periodically switched systems semi-tensor product state constraints 

分 类 号：O231[理学—运筹学与控制论]