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
  • [31] A survey on observability of Boolean control networks
    Kuize Zhang
    Control Theory and Technology, 2023, 21 : 115 - 147
  • [32] Controllability and observability of state-dependent switched Boolean control networks with input constraints
    Li, Yiliang
    Li, Jinjin
    Ma, Zhouming
    Feng, Jun-e
    Wang, Hongkun
    ASIAN JOURNAL OF CONTROL, 2019, 21 (06) : 2662 - 2673
  • [33] Further Results on Observability of Boolean Control Networks
    Wang, Caixia
    Feng, Jun-e
    Yu, Yongyuan
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 902 - 907
  • [34] Observability of Boolean control networks with stochastic disturbances
    Tong, Liyun
    Liang, Jinling
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (13): : 9560 - 9578
  • [35] Observability of Boolean Control Networks with Input Constraints
    Guo, Yuqian
    Ding, Yong
    2017 13TH IEEE INTERNATIONAL CONFERENCE ON CONTROL & AUTOMATION (ICCA), 2017, : 719 - 722
  • [36] Controllability and Observability of Singular Boolean Control Networks
    Meng, Min
    Li, Beiyou
    Feng, Jun-e
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (04) : 1233 - 1248
  • [37] Robust Controllability and Observability of Boolean Control Networks
    Wang, Yuanhua
    Zhang, Xiao
    Hao, Yaqi
    Cheng, Daizhan
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 811 - 816
  • [38] Controllability and Observability of Singular Boolean Control Networks
    Min Meng
    Beiyou Li
    Jun-e Feng
    Circuits, Systems, and Signal Processing, 2015, 34 : 1233 - 1248
  • [39] Using the theories of finite automata and formal languages to determine observability of switched Boolean control networks
    Zhang, Kuize
    Zhang, Lijun
    Xie, Lihua
    Jiang, Zhe
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 4214 - 4219
  • [40] Observability Decomposition of Boolean Control Networks Under Several Kinds of Observability
    Li, Yiliang
    Feng, Jun-E
    Cheng, Daizhan
    Jia, Yingzhe
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (02) : 1340 - 1347
12345