Delayed Feedback Control for Stabilization of Boolean Control Networks With State Delay

被引：59
|
作者：
Liu, Rongjian [1 ]
Lu, Jianquan [1 ,2 ]
Liu, Yang [1 ,3 ]
Cao, Jinde [1 ]
Wu, Zheng-Guang [4 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[4] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2018年 / 29卷 / 07期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Boolean networks (BNs); delayed feedback control; semi-tensor product (STP) of matrices; MINIMUM-TIME CONTROL; DYNAMICAL NETWORKS; CONTROL DESIGN; CONTROLLABILITY; SYNCHRONIZATION; OBSERVABILITY; STABILITY; OBSERVERS; CONSENSUS; EQUATIONS;
D O I：
10.1109/TNNLS.2017.2659386
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this brief, we study the delayed feedback stabilization problem for Boolean control networks (BCNs) with state delay. Using the semi-tensor product of matrices, some necessary and sufficient conditions are obtained. For the stabilization of BCNs, detailed procedure to construct the feedback controllers is also presented. We further derive the number of different feedback controllers, which can successfully stabilize the BCN in a finite time. Finally, an illustrative example is presented to show the effectiveness of our method.
引用
收藏
页码：3283 / 3288
页数：6
相关论文
共 50 条
  • [31] Asymptotical Feedback Set Stabilization of Probabilistic Boolean Control Networks
    Zhou, Rongpei
    Guo, Yuqian
    Wu, Yuhu
    Gui, Weihua
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (11) : 4524 - 4537
  • [32] Function Perturbation Impact on Feedback Stabilization of Boolean Control Networks
    Li, Xiaodong
    Li, Haitao
    Zhao, Guodong
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2019, 30 (08) : 2548 - 2554
  • [33] Optimal State Feedback Preview Control of Boolean Networks
    Linye Wu
    Jitao Sun
    Neural Processing Letters, 2023, 55 : 11259 - 11272
  • [34] Stabilization of Boolean Control Networks
    Cheng, Daizhan
    Liu, Jiang B.
    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
  • [35] State-feedback decomposition for Boolean Control Networks
    Zou Yunlei
    Zhu Jiandong
    Liu, Yurong
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 7650 - 7654
  • [36] Optimal State Feedback Preview Control of Boolean Networks
    Wu, Linye
    Sun, Jitao
    NEURAL PROCESSING LETTERS, 2023, 55 (08) : 11259 - 11272
  • [37] State feedback stabilization for probabilistic Boolean networks
    Li, Rui
    Yang, Meng
    Chu, Tianguang
    AUTOMATICA, 2014, 50 (04) : 1272 - 1278
  • [38] State-feedback set stabilization of logical control networks with state-dependent delay
    Yating ZHENG
    Haitao LI
    Jun-E FENG
    ScienceChina(InformationSciences), 2021, 64 (06) : 233 - 235
  • [39] State-feedback set stabilization of logical control networks with state-dependent delay
    Yating Zheng
    Haitao Li
    Jun-E Feng
    Science China Information Sciences, 2021, 64
  • [40] State-feedback set stabilization of logical control networks with state-dependent delay
    Zheng, Yating
    Li, Haitao
    Feng, Jun-E
    SCIENCE CHINA-INFORMATION SCIENCES, 2021, 64 (06)
12345