Observability of Periodically Switched Boolean Control Networks

被引：0
|
作者：
Jiang, Chunfeng [1 ]
Wang, Biao [2 ]
Fu, Shihua [3 ]
Zhao, Jianli [3 ]
Sun, Min [4 ]
机构：
[1] Univ Sannio, Dept Engn, I-82100 Benevento, Italy
[2] Shandong Univ, Sch Management, Jinan 250100, Peoples R China
[3] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China
[4] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2023年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Boolean control networks; observability; periodically switched systems; semi-tensor product; state constraints; CONTROLLABILITY; STABILIZATION; PERTURBATION; REACHABILITY; STABILITY; DYNAMICS; SET;
D O I：
10.1007/s11424-023-1162-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, observability is studied for periodically switched Boolean control networks (PSBCNs), which are managed with periodic switching signal and consist of some Boolean control networks. Firstly, via semi-tensor product of matrices, PSBCNs are expressed as algebraic forms. Secondly, a parallel system is constructed by combining two same PSBCNs, based on which, the observability problem of the original PSBCN can be transformed into the set reachability problem of this parallel system. Then, two necessary and sufficient conditions are obtained to detect reachability of parallel systems and observability of PSBCNs. In addition, the proposed conditions are extended to the case of state constraints. Finally, a practical example and a numerical example are provided to illustrate the results.
引用
收藏
页码：985 / 1001
页数：17
相关论文
共 50 条
  • [1] Observability of Periodically Switched Boolean Control Networks
    JIANG Chunfeng
    WANG Biao
    FU Shihua
    ZHAO Jianli
    SUN Min
    Journal of Systems Science & Complexity, 2023, 36 (03) : 985 - 1001
  • [2] Observability of Periodically Switched Boolean Control Networks
    Chunfeng Jiang
    Biao Wang
    Shihua Fu
    Jianli Zhao
    Min Sun
    Journal of Systems Science and Complexity, 2023, 36 : 985 - 1001
  • [3] A note on observability of switched Boolean control networks
    Gao, Zhe
    Wang, Biao
    Feng, Jun-e
    Yu, Yongyuan
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 336 - 341
  • [4] Controllability and observability of switched Boolean control networks
    Zhang, L.
    Feng, J.
    Yao, J.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (16): : 2477 - 2484
  • [5] Output Feedback Observability of Switched Boolean Control Networks
    Li, Yiliang
    Feng, Jun-e
    Wang, Biao
    INFORMATION SCIENCES, 2022, 612 : 612 - 625
  • [6] OBSERVABILITY OF SWITCHED BOOLEAN CONTROL NETWORKS USING ALGEBRAIC FORMS
    Yang, Yvjing
    Liu, Yang
    Lou, Jungang
    Wang, Zhen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (04): : 1519 - 1533
  • [7] Observability of Switched Boolean Control Networks via Set Controllability
    Zhang, Xiao
    Meng, Min
    Wang, Yuanhua
    Cheng, Daizhan
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 3912 - 3917
  • [8] Finite automata approach to observability of switched Boolean control networks
    Zhang, Kuize
    Zhang, Lijun
    Xie, Lihua
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 19 : 186 - 197
  • [9] Controllability and set controllability of periodically switched Boolean control networks
    Jiang, Chunfeng
    Fu, Shihua
    Wang, Biao
    Zhao, Jianli
    Sun, Min
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (08) : 2124 - 2132
  • [10] Observability of Boolean control networks
    Zhu, Qunxi
    Liu, Yang
    Lu, Jianquan
    Cao, Jinde
    SCIENCE CHINA-INFORMATION SCIENCES, 2018, 61 (09)
12345