Structure of Block Sequential Update Boolean Networks

被引:0
作者
Li Zhiqiang [1 ]
Xiao Huimin [1 ]
机构
[1] Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China
来源
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
关键词
Boolean Network; Semi-tensor Product; Block Sequential Boolean Network; Eigenvector; CONTROLLABILITY; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we discuss the structure of block sequential Boolean network. Block sequential Boolean networks are a class of Boolean networks under different update schemes, which contain serial Boolean networks and parallel Boolean networks as special cases. First, the structure matrix of block sequential Boolean network is obtained and based on the structure matrix, we give a formula for the number of cycles. The formula we obtained is based on the eigenvector of the structure matrix.
引用
收藏
页码:2069 / 2072
页数:4
相关论文
共 50 条
  • [1] Synchronization of Boolean Networks with Different Update Schemes
    Zhang, Hao
    Wang, Xingyuan
    Lin, Xiaohui
    IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2014, 11 (05) : 965 - 972
  • [2] Synchronization of Coupled Boolean Networks With Different Update Scheme
    Niu, Yujun
    Liu, Hongjun
    Wei, Qiang
    IEEE ACCESS, 2020, 8 : 79319 - 79324
  • [3] Complexity of limit cycles with block-sequential update schedules in conjunctive networks
    Aracena, Julio
    Bridoux, Florian
    Gomez, Luis
    Salinas, Lilian
    NATURAL COMPUTING, 2023, 22 (03) : 411 - 429
  • [4] Block Decoupling of Boolean Control Networks
    Yu, Yongyuan
    Feng, Jun-e
    Pan, Jinfeng
    Cheng, Daizhan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (08) : 3129 - 3140
  • [5] Variable structure controller design for Boolean networks
    Sun, Liangjie
    Lu, Jianquan
    Liu, Yang
    Huang, Tingwen
    Alsaadi, Fuad E.
    Hayat, Tasawar
    NEURAL NETWORKS, 2018, 97 : 107 - 115
  • [6] On Block-decoupling of Boolean Control Networks
    Wang, Lei
    Li, Yifeng
    Zhu, Jiandong
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2023, 21 (01) : 40 - 51
  • [7] Function Perturbation Impact on the Topological Structure of Boolean Networks
    Li, Haitao
    Wang, Yuzhen
    Liu, Zhenbin
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1241 - 1246
  • [8] Combinatorics on update digraphs in Boolean networks
    Aracena, J.
    Fanchon, E.
    Montalva, M.
    Noual, M.
    DISCRETE APPLIED MATHEMATICS, 2011, 159 (06) : 401 - 409
  • [9] On the robustness of update schedules in Boolean networks
    Aracena, J.
    Goles, E.
    Moreira, A.
    Salinas, L.
    BIOSYSTEMS, 2009, 97 (01) : 1 - 8
  • [10] Topological structure of implicit Boolean networks
    Yu, Yongyuan
    Feng, Jun-e
    Meng, Min
    Wang, Biao
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (13) : 2058 - 2064