Set Stabilization in Distribution of Probabilistic Boolean Control Networks

被引:0
|
作者
Zhou, Rongpei [1 ]
Guo, Yuqian [1 ]
机构
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
STABILITY; CONTROLLABILITY; SYNCHRONIZATION; OBSERVABILITY; MODEL;
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 propose the concept of set stabilization in distribution of a probabilistic Boolean control network (PBCN), which determines whether the probability distribution converges to the distribution of the destination state subset under a certain control sequence. Then an algorithm is proposed to calculate the largest control invariant subset (LCIS) of a PBCN contained in a given set. We prove that for a PBCN, set stabilizability in distribution and set stabilizability in distribution by state feedback are equivalent. Based on this, a necessary and sufficient condition for set stabilizability in distribution is derived, and a control design method is proposed. Finally, examples are provided to illustrate the effectiveness of the proposed method.
引用
收藏
页码:274 / 279
页数:6
相关论文
共 50 条
  • [31] Finite-time Set Stabilization of Impulsive Probabilistic Boolean Control Networks via Time-variant Feedback Control
    Qilong Sun
    Wenying Hou
    Haitao Li
    Jing Wang
    [J]. International Journal of Control, Automation and Systems, 2022, 20 : 3592 - 3605
  • [32] Finite-time Set Stabilization of Impulsive Probabilistic Boolean Control Networks via Time-variant Feedback Control
    Sun, Qilong
    Hou, Wenying
    Li, Haitao
    Wang, Jing
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2022, 20 (11) : 3592 - 3605
  • [33] STATE FEEDBACK FOR SET STABILIZATION OF MARKOVIAN JUMP BOOLEAN CONTROL NETWORKS
    Zhu, Sanmei
    Feng, Jun-e
    Zhao, Jianli
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (04): : 1591 - 1605
  • [34] Distributed set stabilization of switched Boolean networks via pinning control
    Jiang, Meng-Han
    Li, Hai-Tao
    [J]. Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2021, 38 (11): : 1754 - 1760
  • [35] Sampled-Data Set Stabilization of Switched Boolean Control Networks
    Yerudkar, Amol
    Del Vecchio, Carmen
    Glielmo, Luigi
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 6139 - 6144
  • [36] Set stabilization of boolean networks via sampled-data control
    Sun, Liangjie
    Lu, Jianquan
    Lou, Jungang
    Li, Lulu
    [J]. ASIAN JOURNAL OF CONTROL, 2019, 21 (06) : 2685 - 2690
  • [37] Stabilization of Boolean Control Networks
    Cheng, Daizhan
    Liu, Jiang B.
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 5269 - 5274
  • [38] Bisimulation-based stabilization of probabilistic Boolean control networks with state feedback control
    Nan Jiang
    Chi Huang
    Yao Chen
    Jürgen Kurths
    [J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21 : 268 - 280
  • [39] Bisimulation-based stabilization of probabilistic Boolean control networks with state feedback control
    Jiang, Nan
    Huang, Chi
    Chen, Yao
    Kurths, Juergen
    [J]. FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2020, 21 (02) : 268 - 280
  • [40] Set reachability and observability of probabilistic Boolean networks
    Zhou, Rongpei
    Guo, Yuqian
    Gui, Weihua
    [J]. AUTOMATICA, 2019, 106 : 230 - 241