Sampled-data stabilization of probabilistic Boolean control networks

被引：52
|
作者：
Liu, Yang [1 ,2 ]
Wang, Liqing [2 ]
Lu, Jianquan [1 ]
Cao, Jinde [1 ,3 ]
机构：
[1] Southeast Univ, Sch Math, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Jiangsu, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Nantong Univ, Sch Elect Engn, Nantong 226000, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2019年 / 124卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Sampled-data control; Probabilistic Boolean control network; Semi-tensor product; Stabilization; STATE-FEEDBACK STABILIZATION; CONTROL DESIGN; SYNCHRONIZATION; DECOMPOSITION; GAMES;
D O I：
10.1016/j.sysconle.2018.12.012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Probabilistic Boolean networks (PBNs) are discrete-time systems composed of a family of Boolean networks (BNs), between which the PBN switches in a stochastic fashion. In this paper, we address the stabilization of probabilistic Boolean control networks (PBCNs) via a sampled-data state feedback controller (SDSFC). Based on the algebraic representation of logical functions, a necessary and sufficient condition is derived for the existence of SDSFCs for the global stabilization of PBCNs, and the controller is further designed. A biological example is presented to illustrate the effectiveness of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：106 / 111
页数：6
相关论文
共 50 条
  • [1] Set Stabilization of Probabilistic Boolean Control Networks: A Sampled-Data Control Approach
    Xu, Mengxia
    Liu, Yang
    Lou, Jungang
    Wu, Zheng-Guang
    Zhong, Jie
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (08) : 3816 - 3823
  • [2] Sampled-Data State Feedback Stabilization of Boolean Control Networks
    Liu, Yang
    Cao, Jinde
    Sun, Liangjie
    Lu, Jianquan
    NEURAL COMPUTATION, 2016, 28 (04) : 778 - 799
  • [3] Set stabilization of boolean networks via sampled-data control
    Sun, Liangjie
    Lu, Jianquan
    Lou, Jungang
    Li, Lulu
    ASIAN JOURNAL OF CONTROL, 2019, 21 (06) : 2685 - 2690
  • [4] Sampled-Data Set Stabilization of Switched Boolean Control Networks
    Yerudkar, Amol
    Del Vecchio, Carmen
    Glielmo, Luigi
    IFAC PAPERSONLINE, 2020, 53 (02): : 6139 - 6144
  • [5] STABILIZATION OF BOOLEAN CONTROL NETWORKS UNDER APERIODIC SAMPLED-DATA CONTROL
    Lu, Jianquan
    Sun, Liangjie
    Liu, Yang
    Ho, Daniel W. C.
    Cao, Jinde
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (06) : 4385 - 4404
  • [6] Sampled-Data Stabilization for Boolean Control Networks With Infinite Stochastic Sampling
    Wang, Liqing
    Wu, Zheng-Guang
    Chen, Shiming
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (01) : 333 - 343
  • [7] Stabilization of Aperiodic Sampled-Data Boolean Control Networks: A Delay Approach
    Sun, Liangjie
    Ching, Wai-Ki
    Lu, Jianquan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (11) : 5606 - 5611
  • [8] Sampled-Data State Feedback Control for the Set Stabilization of Boolean Control Networks
    Zhu, Shiyong
    Liu, Yang
    Lou, Jungang
    Lu, Jianquan
    Alsaadi, Fuad E.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (04): : 1580 - 1589
  • [9] Stabilization of Markovian Jump Boolean Control Networks via Sampled-Data Control
    Chen, Bingquan
    Cao, Jinde
    Lu, Guoping
    Rutkowski, Leszek
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (10) : 10290 - 10301
  • [10] Sampled-Data State-Feedback Stabilization of Probabilistic Boolean Control Networks: A Control Lyapunov Function Approach
    Liu, Jiayang
    Liu, Yang
    Guo, Yuqian
    Gui, Weihua
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (09) : 3928 - 3937
12345