Pinning Stabilization of Boolean Control Networks via a Minimum Number of Controllers

被引：39
|
作者：
Lu, Jianquan [1 ]
Liu, Rongjian [1 ]
Lou, Jungang [2 ]
Liu, Yang [3 ]
机构：
[1] Southeast Univ, Sch Math, Sch Cyber Sci & Engn, Nanjing 210096, Peoples R China
[2] Huzhou Univ, Sch Informat Engn, Huzhou 313000, Peoples R China
[3] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2021年 / 51卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Control systems; Xenon; Indexes; Adaptive control; Computational complexity; Biology; Boolean control networks (BCNs); minimum number of controllers; pinning stabilization; semi-tensor product (STP); warshall algorithm; OUTPUT-FEEDBACK STABILIZATION; CONTROL DESIGN; STABILITY; ALGORITHMS; INPUTS;
D O I：
10.1109/TCYB.2019.2944659
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stabilization problem of Boolean control networks (BCNs) under pinning control is investigated in this article, and the set of pinned nodes is minimized. A BCN is a Boolean network with Boolean control inputs in it. When the given BCNs cannot realize stabilization under existing Boolean control inputs, pinning control strategy is introduced to make the BCNs achieve stabilization. The Warshall algorithm is introduced to verify the stabilizability of BCNs, then novel computational feasible algorithms are developed to design the minimum number pinning controller for the system. By using our method, the minimum set of pinned nodes can be found with relatively low computational complexity. Finally, the theoretical result is validated using a biological example.
引用
收藏
页码：373 / 381
页数：9
相关论文
共 50 条
  • [1] Pinning Stabilization of Linearly Coupled Stochastic Neural Networks via Minimum Number of Controllers
    Lu, Jianquan
    Ho, Daniel W. C.
    Wang, Zidong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (10): : 1617 - 1629
  • [2] Stabilization of probabilistic Boolean networks via pinning control strategy
    Huang, Chi
    Lu, Jianquan
    Ho, Daniel W. C.
    Zhai, Guisheng
    Cao, Jinde
    [J]. INFORMATION SCIENCES, 2020, 510 : 205 - 217
  • [3] An improved algorithm for stabilization of Boolean networks via pinning control
    Zhang, Zhihua
    Leifeld, Thomas
    Zhang, Ping
    [J]. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 114 - 119
  • [4] 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
  • [5] Pinning Control Design for the Stabilization of Boolean Networks
    Li, Fangfei
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (07) : 1585 - 1590
  • [6] Set Stabilization of Boolean Control Networks via Output-Feedback Controllers
    Jia, Yingzhe
    Wang, Biao
    Feng, Jun-E
    Cheng, Daizhan
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (12): : 7527 - 7536
  • [7] Pinning control design for feedback stabilization of constrained Boolean control networks
    Qiqi Yang
    Haitao Li
    Yansheng Liu
    [J]. Advances in Difference Equations, 2016
  • [8] Pinning control design for feedback stabilization of constrained Boolean control networks
    Yang, Qiqi
    Li, Haitao
    Liu, Yansheng
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [9] Set stabilization of Boolean networks under pinning control strategy
    Liu, Rongjian
    Lu, Jianquan
    Lou, Jungang
    Alsaedi, Ahmed
    Alsaadi, Fuad E.
    [J]. NEUROCOMPUTING, 2017, 260 : 142 - 148
  • [10] Set Stabilization of Probabilistic Boolean Networks Using Pinning Control
    Li, Fangfei
    Xie, Lihua
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2019, 30 (08) : 2555 - 2561
12345